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Finding the Fourth Proportional to 2,510.97, 3,464.03 and 1,765.41

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Solution

The fourth proportional to 2,510.97, 3,464.03 and 1,765.41 is: 2,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.97 : 3,464.03 = 1,765.41 : x
  2. Step 2: Convert to fraction form
    2,510.97/3,464.03 = 1,765.41/x
  3. Step 3: Cross multiply
    2,510.97x = 3,464.03 × 1,765.41
  4. Step 4: Simplify right side
    2,510.97x = 6,115,424.38
  5. Step 5: Solve for x
    x = 6,115,424.38/2,510.97
  6. Step 6: Final answer
    x = 2,435.48

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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.