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Finding the Fourth Proportional to 2,114.64, 2,918.52 and 1,275.96

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Solution

The fourth proportional to 2,114.64, 2,918.52 and 1,275.96 is: 1,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.64 : 2,918.52 = 1,275.96 : x
  2. Step 2: Convert to fraction form
    2,114.64/2,918.52 = 1,275.96/x
  3. Step 3: Cross multiply
    2,114.64x = 2,918.52 × 1,275.96
  4. Step 4: Simplify right side
    2,114.64x = 3,723,914.78
  5. Step 5: Solve for x
    x = 3,723,914.78/2,114.64
  6. Step 6: Final answer
    x = 1,761.02

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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.