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Finding the Fourth Proportional to 2,265.80, 3,125.86 and 1,425.02

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Solution

The fourth proportional to 2,265.80, 3,125.86 and 1,425.02 is: 1,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.80 : 3,125.86 = 1,425.02 : x
  2. Step 2: Convert to fraction form
    2,265.80/3,125.86 = 1,425.02/x
  3. Step 3: Cross multiply
    2,265.80x = 3,125.86 × 1,425.02
  4. Step 4: Simplify right side
    2,265.80x = 4,454,393.83
  5. Step 5: Solve for x
    x = 4,454,393.83/2,265.80
  6. Step 6: Final answer
    x = 1,965.93

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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.