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Finding the Fourth Proportional to 1,582.91, 2,374.79 and 487.25

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Solution

The fourth proportional to 1,582.91, 2,374.79 and 487.25 is: 731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.91 : 2,374.79 = 487.25 : x
  2. Step 2: Convert to fraction form
    1,582.91/2,374.79 = 487.25/x
  3. Step 3: Cross multiply
    1,582.91x = 2,374.79 × 487.25
  4. Step 4: Simplify right side
    1,582.91x = 1,157,102.12
  5. Step 5: Solve for x
    x = 1,157,102.12/1,582.91
  6. Step 6: Final answer
    x = 731.00

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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.