Home / 1,516.14-2,092.10-853.02

Finding the Fourth Proportional to 1,516.14, 2,092.10 and 853.02

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Solution

The fourth proportional to 1,516.14, 2,092.10 and 853.02 is: 1,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.14 : 2,092.10 = 853.02 : x
  2. Step 2: Convert to fraction form
    1,516.14/2,092.10 = 853.02/x
  3. Step 3: Cross multiply
    1,516.14x = 2,092.10 × 853.02
  4. Step 4: Simplify right side
    1,516.14x = 1,784,598.88
  5. Step 5: Solve for x
    x = 1,784,598.88/1,516.14
  6. Step 6: Final answer
    x = 1,177.07

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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.