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Finding the Fourth Proportional to 2,265.85, 3,127.00 and 1,271.10

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Solution

The fourth proportional to 2,265.85, 3,127.00 and 1,271.10 is: 1,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.85 : 3,127.00 = 1,271.10 : x
  2. Step 2: Convert to fraction form
    2,265.85/3,127.00 = 1,271.10/x
  3. Step 3: Cross multiply
    2,265.85x = 3,127.00 × 1,271.10
  4. Step 4: Simplify right side
    2,265.85x = 3,974,726.52
  5. Step 5: Solve for x
    x = 3,974,726.52/2,265.85
  6. Step 6: Final answer
    x = 1,754.19

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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.