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Finding the Fourth Proportional to 3,101.50, 4,281.16 and 1,859.50

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Solution

The fourth proportional to 3,101.50, 4,281.16 and 1,859.50 is: 2,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.50 : 4,281.16 = 1,859.50 : x
  2. Step 2: Convert to fraction form
    3,101.50/4,281.16 = 1,859.50/x
  3. Step 3: Cross multiply
    3,101.50x = 4,281.16 × 1,859.50
  4. Step 4: Simplify right side
    3,101.50x = 7,960,817.02
  5. Step 5: Solve for x
    x = 7,960,817.02/3,101.50
  6. Step 6: Final answer
    x = 2,566.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.