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Finding the Fourth Proportional to 2,507.40, 3,761.44 and 840.96

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Solution

The fourth proportional to 2,507.40, 3,761.44 and 840.96 is: 1,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.40 : 3,761.44 = 840.96 : x
  2. Step 2: Convert to fraction form
    2,507.40/3,761.44 = 840.96/x
  3. Step 3: Cross multiply
    2,507.40x = 3,761.44 × 840.96
  4. Step 4: Simplify right side
    2,507.40x = 3,163,220.58
  5. Step 5: Solve for x
    x = 3,163,220.58/2,507.40
  6. Step 6: Final answer
    x = 1,261.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.