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Finding the Fourth Proportional to 1,487.87, 2,233.98 and 1,461.62

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Solution

The fourth proportional to 1,487.87, 2,233.98 and 1,461.62 is: 2,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.87 : 2,233.98 = 1,461.62 : x
  2. Step 2: Convert to fraction form
    1,487.87/2,233.98 = 1,461.62/x
  3. Step 3: Cross multiply
    1,487.87x = 2,233.98 × 1,461.62
  4. Step 4: Simplify right side
    1,487.87x = 3,265,229.85
  5. Step 5: Solve for x
    x = 3,265,229.85/1,487.87
  6. Step 6: Final answer
    x = 2,194.57

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1.5x scale

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.