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Finding the Fourth Proportional to 2,456.57, 3,390.09 and 1,408.63

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Solution

The fourth proportional to 2,456.57, 3,390.09 and 1,408.63 is: 1,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.57 : 3,390.09 = 1,408.63 : x
  2. Step 2: Convert to fraction form
    2,456.57/3,390.09 = 1,408.63/x
  3. Step 3: Cross multiply
    2,456.57x = 3,390.09 × 1,408.63
  4. Step 4: Simplify right side
    2,456.57x = 4,775,365.53
  5. Step 5: Solve for x
    x = 4,775,365.53/2,456.57
  6. Step 6: Final answer
    x = 1,943.92

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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.