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Finding the Fourth Proportional to 2,265.76, 3,127.18 and 1,478.44

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Solution

The fourth proportional to 2,265.76, 3,127.18 and 1,478.44 is: 2,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.76 : 3,127.18 = 1,478.44 : x
  2. Step 2: Convert to fraction form
    2,265.76/3,127.18 = 1,478.44/x
  3. Step 3: Cross multiply
    2,265.76x = 3,127.18 × 1,478.44
  4. Step 4: Simplify right side
    2,265.76x = 4,623,348.00
  5. Step 5: Solve for x
    x = 4,623,348.00/2,265.76
  6. Step 6: Final answer
    x = 2,040.53

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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.