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Finding the Fourth Proportional to 1,552.14, 2,142.02 and 853.52

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Solution

The fourth proportional to 1,552.14, 2,142.02 and 853.52 is: 1,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.14 : 2,142.02 = 853.52 : x
  2. Step 2: Convert to fraction form
    1,552.14/2,142.02 = 853.52/x
  3. Step 3: Cross multiply
    1,552.14x = 2,142.02 × 853.52
  4. Step 4: Simplify right side
    1,552.14x = 1,828,256.91
  5. Step 5: Solve for x
    x = 1,828,256.91/1,552.14
  6. Step 6: Final answer
    x = 1,177.89

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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.