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Finding the Fourth Proportional to 2,920.30, 4,381.15 and 972.52

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Solution

The fourth proportional to 2,920.30, 4,381.15 and 972.52 is: 1,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.30 : 4,381.15 = 972.52 : x
  2. Step 2: Convert to fraction form
    2,920.30/4,381.15 = 972.52/x
  3. Step 3: Cross multiply
    2,920.30x = 4,381.15 × 972.52
  4. Step 4: Simplify right side
    2,920.30x = 4,260,756.00
  5. Step 5: Solve for x
    x = 4,260,756.00/2,920.30
  6. Step 6: Final answer
    x = 1,459.01

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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.