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Finding the Fourth Proportional to 2,107.85, 3,162.23 and 647.12

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Solution

The fourth proportional to 2,107.85, 3,162.23 and 647.12 is: 970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.85 : 3,162.23 = 647.12 : x
  2. Step 2: Convert to fraction form
    2,107.85/3,162.23 = 647.12/x
  3. Step 3: Cross multiply
    2,107.85x = 3,162.23 × 647.12
  4. Step 4: Simplify right side
    2,107.85x = 2,046,326.47
  5. Step 5: Solve for x
    x = 2,046,326.47/2,107.85
  6. Step 6: Final answer
    x = 970.81

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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.