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Finding the Fourth Proportional to 1,543.97, 2,130.72 and 914.49

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Solution

The fourth proportional to 1,543.97, 2,130.72 and 914.49 is: 1,262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.97 : 2,130.72 = 914.49 : x
  2. Step 2: Convert to fraction form
    1,543.97/2,130.72 = 914.49/x
  3. Step 3: Cross multiply
    1,543.97x = 2,130.72 × 914.49
  4. Step 4: Simplify right side
    1,543.97x = 1,948,518.70
  5. Step 5: Solve for x
    x = 1,948,518.70/1,543.97
  6. Step 6: Final answer
    x = 1,262.02

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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.