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Finding the Fourth Proportional to 2,456.84, 3,390.44 and 1,408.90

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Solution

The fourth proportional to 2,456.84, 3,390.44 and 1,408.90 is: 1,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.84 : 3,390.44 = 1,408.90 : x
  2. Step 2: Convert to fraction form
    2,456.84/3,390.44 = 1,408.90/x
  3. Step 3: Cross multiply
    2,456.84x = 3,390.44 × 1,408.90
  4. Step 4: Simplify right side
    2,456.84x = 4,776,790.92
  5. Step 5: Solve for x
    x = 4,776,790.92/2,456.84
  6. Step 6: Final answer
    x = 1,944.28

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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.