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Finding the Fourth Proportional to 2,720.25, 4,080.67 and 870.93

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Solution

The fourth proportional to 2,720.25, 4,080.67 and 870.93 is: 1,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.25 : 4,080.67 = 870.93 : x
  2. Step 2: Convert to fraction form
    2,720.25/4,080.67 = 870.93/x
  3. Step 3: Cross multiply
    2,720.25x = 4,080.67 × 870.93
  4. Step 4: Simplify right side
    2,720.25x = 3,553,975.75
  5. Step 5: Solve for x
    x = 3,553,975.75/2,720.25
  6. Step 6: Final answer
    x = 1,306.49

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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.