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Finding the Fourth Proportional to 2,374.32, 3,552.56 and 1,645.32

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Solution

The fourth proportional to 2,374.32, 3,552.56 and 1,645.32 is: 2,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.32 : 3,552.56 = 1,645.32 : x
  2. Step 2: Convert to fraction form
    2,374.32/3,552.56 = 1,645.32/x
  3. Step 3: Cross multiply
    2,374.32x = 3,552.56 × 1,645.32
  4. Step 4: Simplify right side
    2,374.32x = 5,845,098.02
  5. Step 5: Solve for x
    x = 5,845,098.02/2,374.32
  6. Step 6: Final answer
    x = 2,461.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.