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Finding the Fourth Proportional to 2,265.40, 3,125.16 and 1,425.72

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Solution

The fourth proportional to 2,265.40, 3,125.16 and 1,425.72 is: 1,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.40 : 3,125.16 = 1,425.72 : x
  2. Step 2: Convert to fraction form
    2,265.40/3,125.16 = 1,425.72/x
  3. Step 3: Cross multiply
    2,265.40x = 3,125.16 × 1,425.72
  4. Step 4: Simplify right side
    2,265.40x = 4,455,603.12
  5. Step 5: Solve for x
    x = 4,455,603.12/2,265.40
  6. Step 6: Final answer
    x = 1,966.81

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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.