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Finding the Fourth Proportional to 3,123.02, 4,684.58 and 814.52

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Solution

The fourth proportional to 3,123.02, 4,684.58 and 814.52 is: 1,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.02 : 4,684.58 = 814.52 : x
  2. Step 2: Convert to fraction form
    3,123.02/4,684.58 = 814.52/x
  3. Step 3: Cross multiply
    3,123.02x = 4,684.58 × 814.52
  4. Step 4: Simplify right side
    3,123.02x = 3,815,656.61
  5. Step 5: Solve for x
    x = 3,815,656.61/3,123.02
  6. Step 6: Final answer
    x = 1,221.79

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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.