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Finding the Fourth Proportional to 3,284.26, 4,927.20 and 975.76

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Solution

The fourth proportional to 3,284.26, 4,927.20 and 975.76 is: 1,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.26 : 4,927.20 = 975.76 : x
  2. Step 2: Convert to fraction form
    3,284.26/4,927.20 = 975.76/x
  3. Step 3: Cross multiply
    3,284.26x = 4,927.20 × 975.76
  4. Step 4: Simplify right side
    3,284.26x = 4,807,764.67
  5. Step 5: Solve for x
    x = 4,807,764.67/3,284.26
  6. Step 6: Final answer
    x = 1,463.88

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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.