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Finding the Fourth Proportional to 1,657.53, 2,288.49 and 1,278.72

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Solution

The fourth proportional to 1,657.53, 2,288.49 and 1,278.72 is: 1,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.53 : 2,288.49 = 1,278.72 : x
  2. Step 2: Convert to fraction form
    1,657.53/2,288.49 = 1,278.72/x
  3. Step 3: Cross multiply
    1,657.53x = 2,288.49 × 1,278.72
  4. Step 4: Simplify right side
    1,657.53x = 2,926,333.14
  5. Step 5: Solve for x
    x = 2,926,333.14/1,657.53
  6. Step 6: Final answer
    x = 1,765.48

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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.