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Finding the Fourth Proportional to 1,543.26, 2,129.61 and 880.14

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Solution

The fourth proportional to 1,543.26, 2,129.61 and 880.14 is: 1,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.26 : 2,129.61 = 880.14 : x
  2. Step 2: Convert to fraction form
    1,543.26/2,129.61 = 880.14/x
  3. Step 3: Cross multiply
    1,543.26x = 2,129.61 × 880.14
  4. Step 4: Simplify right side
    1,543.26x = 1,874,354.95
  5. Step 5: Solve for x
    x = 1,874,354.95/1,543.26
  6. Step 6: Final answer
    x = 1,214.54

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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.