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Finding the Fourth Proportional to 2,516.16, 3,472.16 and 1,397.08

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Solution

The fourth proportional to 2,516.16, 3,472.16 and 1,397.08 is: 1,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.16 : 3,472.16 = 1,397.08 : x
  2. Step 2: Convert to fraction form
    2,516.16/3,472.16 = 1,397.08/x
  3. Step 3: Cross multiply
    2,516.16x = 3,472.16 × 1,397.08
  4. Step 4: Simplify right side
    2,516.16x = 4,850,885.29
  5. Step 5: Solve for x
    x = 4,850,885.29/2,516.16
  6. Step 6: Final answer
    x = 1,927.89

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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.