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Finding the Fourth Proportional to 2,148.98, 2,963.92 and 1,440.59

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Solution

The fourth proportional to 2,148.98, 2,963.92 and 1,440.59 is: 1,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.98 : 2,963.92 = 1,440.59 : x
  2. Step 2: Convert to fraction form
    2,148.98/2,963.92 = 1,440.59/x
  3. Step 3: Cross multiply
    2,148.98x = 2,963.92 × 1,440.59
  4. Step 4: Simplify right side
    2,148.98x = 4,269,786.31
  5. Step 5: Solve for x
    x = 4,269,786.31/2,148.98
  6. Step 6: Final answer
    x = 1,986.89

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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.