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Finding the Fourth Proportional to 3,167.60, 4,752.08 and 1,607.81

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Solution

The fourth proportional to 3,167.60, 4,752.08 and 1,607.81 is: 2,412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.60 : 4,752.08 = 1,607.81 : x
  2. Step 2: Convert to fraction form
    3,167.60/4,752.08 = 1,607.81/x
  3. Step 3: Cross multiply
    3,167.60x = 4,752.08 × 1,607.81
  4. Step 4: Simplify right side
    3,167.60x = 7,640,433.71
  5. Step 5: Solve for x
    x = 7,640,433.71/3,167.60
  6. Step 6: Final answer
    x = 2,412.06

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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.