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Finding the Fourth Proportional to 2,214.12, 3,322.71 and 915.60

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Solution

The fourth proportional to 2,214.12, 3,322.71 and 915.60 is: 1,374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.12 : 3,322.71 = 915.60 : x
  2. Step 2: Convert to fraction form
    2,214.12/3,322.71 = 915.60/x
  3. Step 3: Cross multiply
    2,214.12x = 3,322.71 × 915.60
  4. Step 4: Simplify right side
    2,214.12x = 3,042,273.28
  5. Step 5: Solve for x
    x = 3,042,273.28/2,214.12
  6. Step 6: Final answer
    x = 1,374.03

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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.