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Finding the Fourth Proportional to 2,456.58, 3,389.70 and 1,408.44

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Solution

The fourth proportional to 2,456.58, 3,389.70 and 1,408.44 is: 1,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.58 : 3,389.70 = 1,408.44 : x
  2. Step 2: Convert to fraction form
    2,456.58/3,389.70 = 1,408.44/x
  3. Step 3: Cross multiply
    2,456.58x = 3,389.70 × 1,408.44
  4. Step 4: Simplify right side
    2,456.58x = 4,774,182.03
  5. Step 5: Solve for x
    x = 4,774,182.03/2,456.58
  6. Step 6: Final answer
    x = 1,943.43

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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.