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Finding the Fourth Proportional to 1,761.53, 2,425.95 and 1,464.10

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Solution

The fourth proportional to 1,761.53, 2,425.95 and 1,464.10 is: 2,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.53 : 2,425.95 = 1,464.10 : x
  2. Step 2: Convert to fraction form
    1,761.53/2,425.95 = 1,464.10/x
  3. Step 3: Cross multiply
    1,761.53x = 2,425.95 × 1,464.10
  4. Step 4: Simplify right side
    1,761.53x = 3,551,827.33
  5. Step 5: Solve for x
    x = 3,551,827.33/1,761.53
  6. Step 6: Final answer
    x = 2,016.34

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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.