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Finding the Fourth Proportional to 2,601.95, 3,903.26 and 958.52

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Solution

The fourth proportional to 2,601.95, 3,903.26 and 958.52 is: 1,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.95 : 3,903.26 = 958.52 : x
  2. Step 2: Convert to fraction form
    2,601.95/3,903.26 = 958.52/x
  3. Step 3: Cross multiply
    2,601.95x = 3,903.26 × 958.52
  4. Step 4: Simplify right side
    2,601.95x = 3,741,328.47
  5. Step 5: Solve for x
    x = 3,741,328.47/2,601.95
  6. Step 6: Final answer
    x = 1,437.90

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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.