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Finding the Fourth Proportional to 2,746.88, 4,119.47 and 991.66

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Solution

The fourth proportional to 2,746.88, 4,119.47 and 991.66 is: 1,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.88 : 4,119.47 = 991.66 : x
  2. Step 2: Convert to fraction form
    2,746.88/4,119.47 = 991.66/x
  3. Step 3: Cross multiply
    2,746.88x = 4,119.47 × 991.66
  4. Step 4: Simplify right side
    2,746.88x = 4,085,108.66
  5. Step 5: Solve for x
    x = 4,085,108.66/2,746.88
  6. Step 6: Final answer
    x = 1,487.18

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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.