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Finding the Fourth Proportional to 2,915.79, 4,374.29 and 967.94

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Solution

The fourth proportional to 2,915.79, 4,374.29 and 967.94 is: 1,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.79 : 4,374.29 = 967.94 : x
  2. Step 2: Convert to fraction form
    2,915.79/4,374.29 = 967.94/x
  3. Step 3: Cross multiply
    2,915.79x = 4,374.29 × 967.94
  4. Step 4: Simplify right side
    2,915.79x = 4,234,050.26
  5. Step 5: Solve for x
    x = 4,234,050.26/2,915.79
  6. Step 6: Final answer
    x = 1,452.11

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Why These Related Problems?

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