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Finding the Fourth Proportional to 1,582.96, 2,374.49 and 487.29

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Solution

The fourth proportional to 1,582.96, 2,374.49 and 487.29 is: 730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.96 : 2,374.49 = 487.29 : x
  2. Step 2: Convert to fraction form
    1,582.96/2,374.49 = 487.29/x
  3. Step 3: Cross multiply
    1,582.96x = 2,374.49 × 487.29
  4. Step 4: Simplify right side
    1,582.96x = 1,157,067.31
  5. Step 5: Solve for x
    x = 1,157,067.31/1,582.96
  6. Step 6: Final answer
    x = 730.95

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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.