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Finding the Fourth Proportional to 2,713.24, 4,070.01 and 864.50

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Solution

The fourth proportional to 2,713.24, 4,070.01 and 864.50 is: 1,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.24 : 4,070.01 = 864.50 : x
  2. Step 2: Convert to fraction form
    2,713.24/4,070.01 = 864.50/x
  3. Step 3: Cross multiply
    2,713.24x = 4,070.01 × 864.50
  4. Step 4: Simplify right side
    2,713.24x = 3,518,523.65
  5. Step 5: Solve for x
    x = 3,518,523.65/2,713.24
  6. Step 6: Final answer
    x = 1,296.80

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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.