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Finding the Fourth Proportional to 2,560.18, 3,840.24 and 916.84

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Solution

The fourth proportional to 2,560.18, 3,840.24 and 916.84 is: 1,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.18 : 3,840.24 = 916.84 : x
  2. Step 2: Convert to fraction form
    2,560.18/3,840.24 = 916.84/x
  3. Step 3: Cross multiply
    2,560.18x = 3,840.24 × 916.84
  4. Step 4: Simplify right side
    2,560.18x = 3,520,885.64
  5. Step 5: Solve for x
    x = 3,520,885.64/2,560.18
  6. Step 6: Final answer
    x = 1,375.25

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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.