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Finding the Fourth Proportional to 1,552.64, 2,129.52 and 1,377.68

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Solution

The fourth proportional to 1,552.64, 2,129.52 and 1,377.68 is: 1,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.64 : 2,129.52 = 1,377.68 : x
  2. Step 2: Convert to fraction form
    1,552.64/2,129.52 = 1,377.68/x
  3. Step 3: Cross multiply
    1,552.64x = 2,129.52 × 1,377.68
  4. Step 4: Simplify right side
    1,552.64x = 2,933,790.23
  5. Step 5: Solve for x
    x = 2,933,790.23/1,552.64
  6. Step 6: Final answer
    x = 1,889.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.