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Finding the Fourth Proportional to 1,594.54, 2,389.24 and 1,046.31

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Solution

The fourth proportional to 1,594.54, 2,389.24 and 1,046.31 is: 1,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.54 : 2,389.24 = 1,046.31 : x
  2. Step 2: Convert to fraction form
    1,594.54/2,389.24 = 1,046.31/x
  3. Step 3: Cross multiply
    1,594.54x = 2,389.24 × 1,046.31
  4. Step 4: Simplify right side
    1,594.54x = 2,499,885.70
  5. Step 5: Solve for x
    x = 2,499,885.70/1,594.54
  6. Step 6: Final answer
    x = 1,567.78

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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.