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Finding the Fourth Proportional to 2,107.71, 3,162.06 and 646.85

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Solution

The fourth proportional to 2,107.71, 3,162.06 and 646.85 is: 970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.71 : 3,162.06 = 646.85 : x
  2. Step 2: Convert to fraction form
    2,107.71/3,162.06 = 646.85/x
  3. Step 3: Cross multiply
    2,107.71x = 3,162.06 × 646.85
  4. Step 4: Simplify right side
    2,107.71x = 2,045,386.42
  5. Step 5: Solve for x
    x = 2,045,386.42/2,107.71
  6. Step 6: Final answer
    x = 970.43

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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.