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Finding the Fourth Proportional to 2,265.66, 3,125.64 and 1,321.20

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Solution

The fourth proportional to 2,265.66, 3,125.64 and 1,321.20 is: 1,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.66 : 3,125.64 = 1,321.20 : x
  2. Step 2: Convert to fraction form
    2,265.66/3,125.64 = 1,321.20/x
  3. Step 3: Cross multiply
    2,265.66x = 3,125.64 × 1,321.20
  4. Step 4: Simplify right side
    2,265.66x = 4,129,595.57
  5. Step 5: Solve for x
    x = 4,129,595.57/2,265.66
  6. Step 6: Final answer
    x = 1,822.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.