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Finding the Fourth Proportional to 2,132.64, 2,943.60 and 1,388.64

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Solution

The fourth proportional to 2,132.64, 2,943.60 and 1,388.64 is: 1,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.64 : 2,943.60 = 1,388.64 : x
  2. Step 2: Convert to fraction form
    2,132.64/2,943.60 = 1,388.64/x
  3. Step 3: Cross multiply
    2,132.64x = 2,943.60 × 1,388.64
  4. Step 4: Simplify right side
    2,132.64x = 4,087,600.70
  5. Step 5: Solve for x
    x = 4,087,600.70/2,132.64
  6. Step 6: Final answer
    x = 1,916.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.