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Finding the Fourth Proportional to 1,910.66, 2,867.84 and 924.17

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Solution

The fourth proportional to 1,910.66, 2,867.84 and 924.17 is: 1,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.66 : 2,867.84 = 924.17 : x
  2. Step 2: Convert to fraction form
    1,910.66/2,867.84 = 924.17/x
  3. Step 3: Cross multiply
    1,910.66x = 2,867.84 × 924.17
  4. Step 4: Simplify right side
    1,910.66x = 2,650,371.69
  5. Step 5: Solve for x
    x = 2,650,371.69/1,910.66
  6. Step 6: Final answer
    x = 1,387.15

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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.