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Finding the Fourth Proportional to 1,275.57, 1,921.38 and 1,160.76

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Solution

The fourth proportional to 1,275.57, 1,921.38 and 1,160.76 is: 1,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.57 : 1,921.38 = 1,160.76 : x
  2. Step 2: Convert to fraction form
    1,275.57/1,921.38 = 1,160.76/x
  3. Step 3: Cross multiply
    1,275.57x = 1,921.38 × 1,160.76
  4. Step 4: Simplify right side
    1,275.57x = 2,230,261.05
  5. Step 5: Solve for x
    x = 2,230,261.05/1,275.57
  6. Step 6: Final answer
    x = 1,748.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.