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Finding the Fourth Proportional to 2,432.58, 3,647.01 and 1,608.81

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Solution

The fourth proportional to 2,432.58, 3,647.01 and 1,608.81 is: 2,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.58 : 3,647.01 = 1,608.81 : x
  2. Step 2: Convert to fraction form
    2,432.58/3,647.01 = 1,608.81/x
  3. Step 3: Cross multiply
    2,432.58x = 3,647.01 × 1,608.81
  4. Step 4: Simplify right side
    2,432.58x = 5,867,346.16
  5. Step 5: Solve for x
    x = 5,867,346.16/2,432.58
  6. Step 6: Final answer
    x = 2,411.98

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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.