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Finding the Fourth Proportional to 1,881.61, 2,594.66 and 1,616.92

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Solution

The fourth proportional to 1,881.61, 2,594.66 and 1,616.92 is: 2,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.61 : 2,594.66 = 1,616.92 : x
  2. Step 2: Convert to fraction form
    1,881.61/2,594.66 = 1,616.92/x
  3. Step 3: Cross multiply
    1,881.61x = 2,594.66 × 1,616.92
  4. Step 4: Simplify right side
    1,881.61x = 4,195,343.08
  5. Step 5: Solve for x
    x = 4,195,343.08/1,881.61
  6. Step 6: Final answer
    x = 2,229.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.