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Finding the Fourth Proportional to 2,915.87, 4,373.19 and 941.68

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Solution

The fourth proportional to 2,915.87, 4,373.19 and 941.68 is: 1,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.87 : 4,373.19 = 941.68 : x
  2. Step 2: Convert to fraction form
    2,915.87/4,373.19 = 941.68/x
  3. Step 3: Cross multiply
    2,915.87x = 4,373.19 × 941.68
  4. Step 4: Simplify right side
    2,915.87x = 4,118,145.56
  5. Step 5: Solve for x
    x = 4,118,145.56/2,915.87
  6. Step 6: Final answer
    x = 1,412.32

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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.