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Finding the Fourth Proportional to 1,453.88, 2,182.86 and 1,387.82

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Solution

The fourth proportional to 1,453.88, 2,182.86 and 1,387.82 is: 2,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.88 : 2,182.86 = 1,387.82 : x
  2. Step 2: Convert to fraction form
    1,453.88/2,182.86 = 1,387.82/x
  3. Step 3: Cross multiply
    1,453.88x = 2,182.86 × 1,387.82
  4. Step 4: Simplify right side
    1,453.88x = 3,029,422.22
  5. Step 5: Solve for x
    x = 3,029,422.22/1,453.88
  6. Step 6: Final answer
    x = 2,083.68

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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.