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Finding the Fourth Proportional to 1,612.66, 2,417.76 and 1,167.16

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Solution

The fourth proportional to 1,612.66, 2,417.76 and 1,167.16 is: 1,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.66 : 2,417.76 = 1,167.16 : x
  2. Step 2: Convert to fraction form
    1,612.66/2,417.76 = 1,167.16/x
  3. Step 3: Cross multiply
    1,612.66x = 2,417.76 × 1,167.16
  4. Step 4: Simplify right side
    1,612.66x = 2,821,912.76
  5. Step 5: Solve for x
    x = 2,821,912.76/1,612.66
  6. Step 6: Final answer
    x = 1,749.85

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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.