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Finding the Fourth Proportional to 2,265.94, 3,127.08 and 1,271.35

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Solution

The fourth proportional to 2,265.94, 3,127.08 and 1,271.35 is: 1,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.94 : 3,127.08 = 1,271.35 : x
  2. Step 2: Convert to fraction form
    2,265.94/3,127.08 = 1,271.35/x
  3. Step 3: Cross multiply
    2,265.94x = 3,127.08 × 1,271.35
  4. Step 4: Simplify right side
    2,265.94x = 3,975,613.16
  5. Step 5: Solve for x
    x = 3,975,613.16/2,265.94
  6. Step 6: Final answer
    x = 1,754.51

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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.