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Finding the Fourth Proportional to 2,314.53, 3,471.84 and 998.19

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Solution

The fourth proportional to 2,314.53, 3,471.84 and 998.19 is: 1,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.53 : 3,471.84 = 998.19 : x
  2. Step 2: Convert to fraction form
    2,314.53/3,471.84 = 998.19/x
  3. Step 3: Cross multiply
    2,314.53x = 3,471.84 × 998.19
  4. Step 4: Simplify right side
    2,314.53x = 3,465,555.97
  5. Step 5: Solve for x
    x = 3,465,555.97/2,314.53
  6. Step 6: Final answer
    x = 1,497.30

Related Problems

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.