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Finding the Fourth Proportional to 1,363.86, 1,881.57 and 950.10

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Solution

The fourth proportional to 1,363.86, 1,881.57 and 950.10 is: 1,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.86 : 1,881.57 = 950.10 : x
  2. Step 2: Convert to fraction form
    1,363.86/1,881.57 = 950.10/x
  3. Step 3: Cross multiply
    1,363.86x = 1,881.57 × 950.10
  4. Step 4: Simplify right side
    1,363.86x = 1,787,679.66
  5. Step 5: Solve for x
    x = 1,787,679.66/1,363.86
  6. Step 6: Final answer
    x = 1,310.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.