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Finding the Fourth Proportional to 2,265.95, 3,127.06 and 1,271.30

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Solution

The fourth proportional to 2,265.95, 3,127.06 and 1,271.30 is: 1,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.95 : 3,127.06 = 1,271.30 : x
  2. Step 2: Convert to fraction form
    2,265.95/3,127.06 = 1,271.30/x
  3. Step 3: Cross multiply
    2,265.95x = 3,127.06 × 1,271.30
  4. Step 4: Simplify right side
    2,265.95x = 3,975,409.39
  5. Step 5: Solve for x
    x = 3,975,409.39/2,265.95
  6. Step 6: Final answer
    x = 1,754.42

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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.