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Finding the Fourth Proportional to 4,343.50, 6,515.61 and 1,265.50

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Solution

The fourth proportional to 4,343.50, 6,515.61 and 1,265.50 is: 1,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.50 : 6,515.61 = 1,265.50 : x
  2. Step 2: Convert to fraction form
    4,343.50/6,515.61 = 1,265.50/x
  3. Step 3: Cross multiply
    4,343.50x = 6,515.61 × 1,265.50
  4. Step 4: Simplify right side
    4,343.50x = 8,245,504.46
  5. Step 5: Solve for x
    x = 8,245,504.46/4,343.50
  6. Step 6: Final answer
    x = 1,898.35

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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.