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Finding the Fourth Proportional to 2,042.03, 3,063.13 and 725.93

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Solution

The fourth proportional to 2,042.03, 3,063.13 and 725.93 is: 1,088.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.03 : 3,063.13 = 725.93 : x
  2. Step 2: Convert to fraction form
    2,042.03/3,063.13 = 725.93/x
  3. Step 3: Cross multiply
    2,042.03x = 3,063.13 × 725.93
  4. Step 4: Simplify right side
    2,042.03x = 2,223,612.32
  5. Step 5: Solve for x
    x = 2,223,612.32/2,042.03
  6. Step 6: Final answer
    x = 1,088.92

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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.