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Finding the Fourth Proportional to 3,290.06, 4,934.28 and 981.56

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Solution

The fourth proportional to 3,290.06, 4,934.28 and 981.56 is: 1,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.06 : 4,934.28 = 981.56 : x
  2. Step 2: Convert to fraction form
    3,290.06/4,934.28 = 981.56/x
  3. Step 3: Cross multiply
    3,290.06x = 4,934.28 × 981.56
  4. Step 4: Simplify right side
    3,290.06x = 4,843,291.88
  5. Step 5: Solve for x
    x = 4,843,291.88/3,290.06
  6. Step 6: Final answer
    x = 1,472.10

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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.