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Finding the Fourth Proportional to 2,720.02, 3,752.29 and 1,775.38

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Solution

The fourth proportional to 2,720.02, 3,752.29 and 1,775.38 is: 2,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.02 : 3,752.29 = 1,775.38 : x
  2. Step 2: Convert to fraction form
    2,720.02/3,752.29 = 1,775.38/x
  3. Step 3: Cross multiply
    2,720.02x = 3,752.29 × 1,775.38
  4. Step 4: Simplify right side
    2,720.02x = 6,661,726.30
  5. Step 5: Solve for x
    x = 6,661,726.30/2,720.02
  6. Step 6: Final answer
    x = 2,449.15

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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.