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Finding the Fourth Proportional to 3,123.48, 4,684.92 and 814.98

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Solution

The fourth proportional to 3,123.48, 4,684.92 and 814.98 is: 1,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.48 : 4,684.92 = 814.98 : x
  2. Step 2: Convert to fraction form
    3,123.48/4,684.92 = 814.98/x
  3. Step 3: Cross multiply
    3,123.48x = 4,684.92 × 814.98
  4. Step 4: Simplify right side
    3,123.48x = 3,818,116.10
  5. Step 5: Solve for x
    x = 3,818,116.10/3,123.48
  6. Step 6: Final answer
    x = 1,222.39

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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.