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Finding the Fourth Proportional to 1,612.15, 2,417.66 and 767.75

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Solution

The fourth proportional to 1,612.15, 2,417.66 and 767.75 is: 1,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.15 : 2,417.66 = 767.75 : x
  2. Step 2: Convert to fraction form
    1,612.15/2,417.66 = 767.75/x
  3. Step 3: Cross multiply
    1,612.15x = 2,417.66 × 767.75
  4. Step 4: Simplify right side
    1,612.15x = 1,856,142.54
  5. Step 5: Solve for x
    x = 1,856,142.54/1,612.15
  6. Step 6: Final answer
    x = 1,151.35

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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.