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Finding the Fourth Proportional to 2,407.68, 3,611.53 and 1,109.16

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Solution

The fourth proportional to 2,407.68, 3,611.53 and 1,109.16 is: 1,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.68 : 3,611.53 = 1,109.16 : x
  2. Step 2: Convert to fraction form
    2,407.68/3,611.53 = 1,109.16/x
  3. Step 3: Cross multiply
    2,407.68x = 3,611.53 × 1,109.16
  4. Step 4: Simplify right side
    2,407.68x = 4,005,764.61
  5. Step 5: Solve for x
    x = 4,005,764.61/2,407.68
  6. Step 6: Final answer
    x = 1,663.74

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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.