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Finding the Fourth Proportional to 1,582.72, 2,371.02 and 887.27

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Solution

The fourth proportional to 1,582.72, 2,371.02 and 887.27 is: 1,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.72 : 2,371.02 = 887.27 : x
  2. Step 2: Convert to fraction form
    1,582.72/2,371.02 = 887.27/x
  3. Step 3: Cross multiply
    1,582.72x = 2,371.02 × 887.27
  4. Step 4: Simplify right side
    1,582.72x = 2,103,744.17
  5. Step 5: Solve for x
    x = 2,103,744.17/1,582.72
  6. Step 6: Final answer
    x = 1,329.20

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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.