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Finding the Fourth Proportional to 2,611.67, 3,604.10 and 1,432.71

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Solution

The fourth proportional to 2,611.67, 3,604.10 and 1,432.71 is: 1,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.67 : 3,604.10 = 1,432.71 : x
  2. Step 2: Convert to fraction form
    2,611.67/3,604.10 = 1,432.71/x
  3. Step 3: Cross multiply
    2,611.67x = 3,604.10 × 1,432.71
  4. Step 4: Simplify right side
    2,611.67x = 5,163,622.95
  5. Step 5: Solve for x
    x = 5,163,622.95/2,611.67
  6. Step 6: Final answer
    x = 1,977.14

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1.5x scale

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.