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Finding the Fourth Proportional to 1,300.38, 1,945.95 and 952.86

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Solution

The fourth proportional to 1,300.38, 1,945.95 and 952.86 is: 1,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.38 : 1,945.95 = 952.86 : x
  2. Step 2: Convert to fraction form
    1,300.38/1,945.95 = 952.86/x
  3. Step 3: Cross multiply
    1,300.38x = 1,945.95 × 952.86
  4. Step 4: Simplify right side
    1,300.38x = 1,854,224.32
  5. Step 5: Solve for x
    x = 1,854,224.32/1,300.38
  6. Step 6: Final answer
    x = 1,425.91

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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.