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Finding the Fourth Proportional to 2,214.40, 3,320.16 and 915.52

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Solution

The fourth proportional to 2,214.40, 3,320.16 and 915.52 is: 1,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.40 : 3,320.16 = 915.52 : x
  2. Step 2: Convert to fraction form
    2,214.40/3,320.16 = 915.52/x
  3. Step 3: Cross multiply
    2,214.40x = 3,320.16 × 915.52
  4. Step 4: Simplify right side
    2,214.40x = 3,039,672.88
  5. Step 5: Solve for x
    x = 3,039,672.88/2,214.40
  6. Step 6: Final answer
    x = 1,372.68

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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.