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Finding the Fourth Proportional to 1,516.47, 2,092.61 and 853.19

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Solution

The fourth proportional to 1,516.47, 2,092.61 and 853.19 is: 1,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.47 : 2,092.61 = 853.19 : x
  2. Step 2: Convert to fraction form
    1,516.47/2,092.61 = 853.19/x
  3. Step 3: Cross multiply
    1,516.47x = 2,092.61 × 853.19
  4. Step 4: Simplify right side
    1,516.47x = 1,785,393.93
  5. Step 5: Solve for x
    x = 1,785,393.93/1,516.47
  6. Step 6: Final answer
    x = 1,177.34

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Double scale
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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.