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Finding the Fourth Proportional to 2,703.67, 4,053.62 and 1,242.03

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Solution

The fourth proportional to 2,703.67, 4,053.62 and 1,242.03 is: 1,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.67 : 4,053.62 = 1,242.03 : x
  2. Step 2: Convert to fraction form
    2,703.67/4,053.62 = 1,242.03/x
  3. Step 3: Cross multiply
    2,703.67x = 4,053.62 × 1,242.03
  4. Step 4: Simplify right side
    2,703.67x = 5,034,691.17
  5. Step 5: Solve for x
    x = 5,034,691.17/2,703.67
  6. Step 6: Final answer
    x = 1,862.17

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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.