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Finding the Fourth Proportional to 1,507.15, 2,261.54 and 959.59

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Solution

The fourth proportional to 1,507.15, 2,261.54 and 959.59 is: 1,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.15 : 2,261.54 = 959.59 : x
  2. Step 2: Convert to fraction form
    1,507.15/2,261.54 = 959.59/x
  3. Step 3: Cross multiply
    1,507.15x = 2,261.54 × 959.59
  4. Step 4: Simplify right side
    1,507.15x = 2,170,151.17
  5. Step 5: Solve for x
    x = 2,170,151.17/1,507.15
  6. Step 6: Final answer
    x = 1,439.90

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