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Finding the Fourth Proportional to 1,505.30, 2,261.59 and 958.55

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Solution

The fourth proportional to 1,505.30, 2,261.59 and 958.55 is: 1,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.30 : 2,261.59 = 958.55 : x
  2. Step 2: Convert to fraction form
    1,505.30/2,261.59 = 958.55/x
  3. Step 3: Cross multiply
    1,505.30x = 2,261.59 × 958.55
  4. Step 4: Simplify right side
    1,505.30x = 2,167,833.39
  5. Step 5: Solve for x
    x = 2,167,833.39/1,505.30
  6. Step 6: Final answer
    x = 1,440.14

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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.