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Finding the Fourth Proportional to 1,516.57, 2,092.34 and 853.28

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Solution

The fourth proportional to 1,516.57, 2,092.34 and 853.28 is: 1,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.57 : 2,092.34 = 853.28 : x
  2. Step 2: Convert to fraction form
    1,516.57/2,092.34 = 853.28/x
  3. Step 3: Cross multiply
    1,516.57x = 2,092.34 × 853.28
  4. Step 4: Simplify right side
    1,516.57x = 1,785,343.55
  5. Step 5: Solve for x
    x = 1,785,343.55/1,516.57
  6. Step 6: Final answer
    x = 1,177.23

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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.