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Finding the Fourth Proportional to 2,182.90, 3,272.55 and 1,156.90

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Solution

The fourth proportional to 2,182.90, 3,272.55 and 1,156.90 is: 1,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.90 : 3,272.55 = 1,156.90 : x
  2. Step 2: Convert to fraction form
    2,182.90/3,272.55 = 1,156.90/x
  3. Step 3: Cross multiply
    2,182.90x = 3,272.55 × 1,156.90
  4. Step 4: Simplify right side
    2,182.90x = 3,786,013.10
  5. Step 5: Solve for x
    x = 3,786,013.10/2,182.90
  6. Step 6: Final answer
    x = 1,734.40

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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.