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Finding the Fourth Proportional to 3,146.47, 4,341 and 2,203.77

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Solution

The fourth proportional to 3,146.47, 4,341 and 2,203.77 is: 3,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.47 : 4,341 = 2,203.77 : x
  2. Step 2: Convert to fraction form
    3,146.47/4,341 = 2,203.77/x
  3. Step 3: Cross multiply
    3,146.47x = 4,341 × 2,203.77
  4. Step 4: Simplify right side
    3,146.47x = 9,566,565.57
  5. Step 5: Solve for x
    x = 9,566,565.57/3,146.47
  6. Step 6: Final answer
    x = 3,040.41

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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.