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Finding the Fourth Proportional to 1,516.37, 2,092.45 and 853.22

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Solution

The fourth proportional to 1,516.37, 2,092.45 and 853.22 is: 1,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.37 : 2,092.45 = 853.22 : x
  2. Step 2: Convert to fraction form
    1,516.37/2,092.45 = 853.22/x
  3. Step 3: Cross multiply
    1,516.37x = 2,092.45 × 853.22
  4. Step 4: Simplify right side
    1,516.37x = 1,785,307.59
  5. Step 5: Solve for x
    x = 1,785,307.59/1,516.37
  6. Step 6: Final answer
    x = 1,177.35

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