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Finding the Fourth Proportional to 3,279.34, 4,918.92 and 970.84

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Solution

The fourth proportional to 3,279.34, 4,918.92 and 970.84 is: 1,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.34 : 4,918.92 = 970.84 : x
  2. Step 2: Convert to fraction form
    3,279.34/4,918.92 = 970.84/x
  3. Step 3: Cross multiply
    3,279.34x = 4,918.92 × 970.84
  4. Step 4: Simplify right side
    3,279.34x = 4,775,484.29
  5. Step 5: Solve for x
    x = 4,775,484.29/3,279.34
  6. Step 6: Final answer
    x = 1,456.23

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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.