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Finding the Fourth Proportional to 2,088.72, 2,876.13 and 1,498.23

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Solution

The fourth proportional to 2,088.72, 2,876.13 and 1,498.23 is: 2,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.72 : 2,876.13 = 1,498.23 : x
  2. Step 2: Convert to fraction form
    2,088.72/2,876.13 = 1,498.23/x
  3. Step 3: Cross multiply
    2,088.72x = 2,876.13 × 1,498.23
  4. Step 4: Simplify right side
    2,088.72x = 4,309,104.25
  5. Step 5: Solve for x
    x = 4,309,104.25/2,088.72
  6. Step 6: Final answer
    x = 2,063.04

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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.