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Finding the Fourth Proportional to 2,915.86, 4,373.05 and 835.88

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Solution

The fourth proportional to 2,915.86, 4,373.05 and 835.88 is: 1,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.86 : 4,373.05 = 835.88 : x
  2. Step 2: Convert to fraction form
    2,915.86/4,373.05 = 835.88/x
  3. Step 3: Cross multiply
    2,915.86x = 4,373.05 × 835.88
  4. Step 4: Simplify right side
    2,915.86x = 3,655,318.99
  5. Step 5: Solve for x
    x = 3,655,318.99/2,915.86
  6. Step 6: Final answer
    x = 1,253.60

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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.