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Finding the Fourth Proportional to 1,774.52, 2,661.58 and 542.78

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Solution

The fourth proportional to 1,774.52, 2,661.58 and 542.78 is: 814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.52 : 2,661.58 = 542.78 : x
  2. Step 2: Convert to fraction form
    1,774.52/2,661.58 = 542.78/x
  3. Step 3: Cross multiply
    1,774.52x = 2,661.58 × 542.78
  4. Step 4: Simplify right side
    1,774.52x = 1,444,666.24
  5. Step 5: Solve for x
    x = 1,444,666.24/1,774.52
  6. Step 6: Final answer
    x = 814.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.