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Finding the Fourth Proportional to 3,123.63, 4,686.12 and 1,456.55

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Solution

The fourth proportional to 3,123.63, 4,686.12 and 1,456.55 is: 2,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.63 : 4,686.12 = 1,456.55 : x
  2. Step 2: Convert to fraction form
    3,123.63/4,686.12 = 1,456.55/x
  3. Step 3: Cross multiply
    3,123.63x = 4,686.12 × 1,456.55
  4. Step 4: Simplify right side
    3,123.63x = 6,825,562.23
  5. Step 5: Solve for x
    x = 6,825,562.23/3,123.63
  6. Step 6: Final answer
    x = 2,185.14

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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.