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Finding the Fourth Proportional to 3,314.56, 4,574.14 and 1,822.62

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Solution

The fourth proportional to 3,314.56, 4,574.14 and 1,822.62 is: 2,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.56 : 4,574.14 = 1,822.62 : x
  2. Step 2: Convert to fraction form
    3,314.56/4,574.14 = 1,822.62/x
  3. Step 3: Cross multiply
    3,314.56x = 4,574.14 × 1,822.62
  4. Step 4: Simplify right side
    3,314.56x = 8,336,919.05
  5. Step 5: Solve for x
    x = 8,336,919.05/3,314.56
  6. Step 6: Final answer
    x = 2,515.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.