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Finding the Fourth Proportional to 2,456.75, 3,378.70 and 1,953.47

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Solution

The fourth proportional to 2,456.75, 3,378.70 and 1,953.47 is: 2,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.75 : 3,378.70 = 1,953.47 : x
  2. Step 2: Convert to fraction form
    2,456.75/3,378.70 = 1,953.47/x
  3. Step 3: Cross multiply
    2,456.75x = 3,378.70 × 1,953.47
  4. Step 4: Simplify right side
    2,456.75x = 6,600,189.09
  5. Step 5: Solve for x
    x = 6,600,189.09/2,456.75
  6. Step 6: Final answer
    x = 2,686.55

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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.