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Finding the Fourth Proportional to 2,416.90, 3,335.10 and 1,408.44

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Solution

The fourth proportional to 2,416.90, 3,335.10 and 1,408.44 is: 1,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.90 : 3,335.10 = 1,408.44 : x
  2. Step 2: Convert to fraction form
    2,416.90/3,335.10 = 1,408.44/x
  3. Step 3: Cross multiply
    2,416.90x = 3,335.10 × 1,408.44
  4. Step 4: Simplify right side
    2,416.90x = 4,697,288.24
  5. Step 5: Solve for x
    x = 4,697,288.24/2,416.90
  6. Step 6: Final answer
    x = 1,943.52

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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.