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Finding the Fourth Proportional to 2,574.70, 3,862.04 and 931.24

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Solution

The fourth proportional to 2,574.70, 3,862.04 and 931.24 is: 1,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.70 : 3,862.04 = 931.24 : x
  2. Step 2: Convert to fraction form
    2,574.70/3,862.04 = 931.24/x
  3. Step 3: Cross multiply
    2,574.70x = 3,862.04 × 931.24
  4. Step 4: Simplify right side
    2,574.70x = 3,596,462.16
  5. Step 5: Solve for x
    x = 3,596,462.16/2,574.70
  6. Step 6: Final answer
    x = 1,396.85

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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.