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Finding the Fourth Proportional to 2,042.88, 3,062.72 and 1,003.04

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Solution

The fourth proportional to 2,042.88, 3,062.72 and 1,003.04 is: 1,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.88 : 3,062.72 = 1,003.04 : x
  2. Step 2: Convert to fraction form
    2,042.88/3,062.72 = 1,003.04/x
  3. Step 3: Cross multiply
    2,042.88x = 3,062.72 × 1,003.04
  4. Step 4: Simplify right side
    2,042.88x = 3,072,030.67
  5. Step 5: Solve for x
    x = 3,072,030.67/2,042.88
  6. Step 6: Final answer
    x = 1,503.77

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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.