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Finding the Fourth Proportional to 2,396.78, 3,595.20 and 916.10

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Solution

The fourth proportional to 2,396.78, 3,595.20 and 916.10 is: 1,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.78 : 3,595.20 = 916.10 : x
  2. Step 2: Convert to fraction form
    2,396.78/3,595.20 = 916.10/x
  3. Step 3: Cross multiply
    2,396.78x = 3,595.20 × 916.10
  4. Step 4: Simplify right side
    2,396.78x = 3,293,562.72
  5. Step 5: Solve for x
    x = 3,293,562.72/2,396.78
  6. Step 6: Final answer
    x = 1,374.16

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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.