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Finding the Fourth Proportional to 2,108.34, 3,162.84 and 647.13

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Solution

The fourth proportional to 2,108.34, 3,162.84 and 647.13 is: 970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.34 : 3,162.84 = 647.13 : x
  2. Step 2: Convert to fraction form
    2,108.34/3,162.84 = 647.13/x
  3. Step 3: Cross multiply
    2,108.34x = 3,162.84 × 647.13
  4. Step 4: Simplify right side
    2,108.34x = 2,046,768.65
  5. Step 5: Solve for x
    x = 2,046,768.65/2,108.34
  6. Step 6: Final answer
    x = 970.80

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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.