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Finding the Fourth Proportional to 2,821.57, 4,232.99 and 972.71

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Solution

The fourth proportional to 2,821.57, 4,232.99 and 972.71 is: 1,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.57 : 4,232.99 = 972.71 : x
  2. Step 2: Convert to fraction form
    2,821.57/4,232.99 = 972.71/x
  3. Step 3: Cross multiply
    2,821.57x = 4,232.99 × 972.71
  4. Step 4: Simplify right side
    2,821.57x = 4,117,468.84
  5. Step 5: Solve for x
    x = 4,117,468.84/2,821.57
  6. Step 6: Final answer
    x = 1,459.28

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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.