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Finding the Fourth Proportional to 1,371.83, 1,894.86 and 1,151.91

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Solution

The fourth proportional to 1,371.83, 1,894.86 and 1,151.91 is: 1,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.83 : 1,894.86 = 1,151.91 : x
  2. Step 2: Convert to fraction form
    1,371.83/1,894.86 = 1,151.91/x
  3. Step 3: Cross multiply
    1,371.83x = 1,894.86 × 1,151.91
  4. Step 4: Simplify right side
    1,371.83x = 2,182,708.18
  5. Step 5: Solve for x
    x = 2,182,708.18/1,371.83
  6. Step 6: Final answer
    x = 1,591.10

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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.