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Finding the Fourth Proportional to 2,972.32, 4,455.12 and 2,239.60

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Solution

The fourth proportional to 2,972.32, 4,455.12 and 2,239.60 is: 3,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.32 : 4,455.12 = 2,239.60 : x
  2. Step 2: Convert to fraction form
    2,972.32/4,455.12 = 2,239.60/x
  3. Step 3: Cross multiply
    2,972.32x = 4,455.12 × 2,239.60
  4. Step 4: Simplify right side
    2,972.32x = 9,977,686.75
  5. Step 5: Solve for x
    x = 9,977,686.75/2,972.32
  6. Step 6: Final answer
    x = 3,356.87

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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.