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Finding the Fourth Proportional to 2,560.30, 3,840.51 and 916.96

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Solution

The fourth proportional to 2,560.30, 3,840.51 and 916.96 is: 1,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.30 : 3,840.51 = 916.96 : x
  2. Step 2: Convert to fraction form
    2,560.30/3,840.51 = 916.96/x
  3. Step 3: Cross multiply
    2,560.30x = 3,840.51 × 916.96
  4. Step 4: Simplify right side
    2,560.30x = 3,521,594.05
  5. Step 5: Solve for x
    x = 3,521,594.05/2,560.30
  6. Step 6: Final answer
    x = 1,375.46

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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.