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Finding the Fourth Proportional to 2,610.90, 3,916.35 and 2,408.40

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Solution

The fourth proportional to 2,610.90, 3,916.35 and 2,408.40 is: 3,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.90 : 3,916.35 = 2,408.40 : x
  2. Step 2: Convert to fraction form
    2,610.90/3,916.35 = 2,408.40/x
  3. Step 3: Cross multiply
    2,610.90x = 3,916.35 × 2,408.40
  4. Step 4: Simplify right side
    2,610.90x = 9,432,137.34
  5. Step 5: Solve for x
    x = 9,432,137.34/2,610.90
  6. Step 6: Final answer
    x = 3,612.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.