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Finding the Fourth Proportional to 1,634.93, 2,435.87 and 1,552.31

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Solution

The fourth proportional to 1,634.93, 2,435.87 and 1,552.31 is: 2,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.93 : 2,435.87 = 1,552.31 : x
  2. Step 2: Convert to fraction form
    1,634.93/2,435.87 = 1,552.31/x
  3. Step 3: Cross multiply
    1,634.93x = 2,435.87 × 1,552.31
  4. Step 4: Simplify right side
    1,634.93x = 3,781,217.60
  5. Step 5: Solve for x
    x = 3,781,217.60/1,634.93
  6. Step 6: Final answer
    x = 2,312.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.