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Finding the Fourth Proportional to 4,611.29, 6,915.68 and 1,323.50

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Solution

The fourth proportional to 4,611.29, 6,915.68 and 1,323.50 is: 1,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.29 : 6,915.68 = 1,323.50 : x
  2. Step 2: Convert to fraction form
    4,611.29/6,915.68 = 1,323.50/x
  3. Step 3: Cross multiply
    4,611.29x = 6,915.68 × 1,323.50
  4. Step 4: Simplify right side
    4,611.29x = 9,152,895.86
  5. Step 5: Solve for x
    x = 9,152,895.86/4,611.29
  6. Step 6: Final answer
    x = 1,984.89

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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.