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Finding the Fourth Proportional to 2,607.60, 3,909.08 and 1,145.64

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Solution

The fourth proportional to 2,607.60, 3,909.08 and 1,145.64 is: 1,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.60 : 3,909.08 = 1,145.64 : x
  2. Step 2: Convert to fraction form
    2,607.60/3,909.08 = 1,145.64/x
  3. Step 3: Cross multiply
    2,607.60x = 3,909.08 × 1,145.64
  4. Step 4: Simplify right side
    2,607.60x = 4,478,398.41
  5. Step 5: Solve for x
    x = 4,478,398.41/2,607.60
  6. Step 6: Final answer
    x = 1,717.44

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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.