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Finding the Fourth Proportional to 2,265.48, 3,126.16 and 1,321.84

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Solution

The fourth proportional to 2,265.48, 3,126.16 and 1,321.84 is: 1,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.48 : 3,126.16 = 1,321.84 : x
  2. Step 2: Convert to fraction form
    2,265.48/3,126.16 = 1,321.84/x
  3. Step 3: Cross multiply
    2,265.48x = 3,126.16 × 1,321.84
  4. Step 4: Simplify right side
    2,265.48x = 4,132,283.33
  5. Step 5: Solve for x
    x = 4,132,283.33/2,265.48
  6. Step 6: Final answer
    x = 1,824.02

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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.