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Finding the Fourth Proportional to 2,470.75, 3,706.13 and 646.75

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Solution

The fourth proportional to 2,470.75, 3,706.13 and 646.75 is: 970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.75 : 3,706.13 = 646.75 : x
  2. Step 2: Convert to fraction form
    2,470.75/3,706.13 = 646.75/x
  3. Step 3: Cross multiply
    2,470.75x = 3,706.13 × 646.75
  4. Step 4: Simplify right side
    2,470.75x = 2,396,939.58
  5. Step 5: Solve for x
    x = 2,396,939.58/2,470.75
  6. Step 6: Final answer
    x = 970.13

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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.