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Finding the Fourth Proportional to 3,288.23, 4,932.67 and 948.29

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Solution

The fourth proportional to 3,288.23, 4,932.67 and 948.29 is: 1,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.23 : 4,932.67 = 948.29 : x
  2. Step 2: Convert to fraction form
    3,288.23/4,932.67 = 948.29/x
  3. Step 3: Cross multiply
    3,288.23x = 4,932.67 × 948.29
  4. Step 4: Simplify right side
    3,288.23x = 4,677,579.58
  5. Step 5: Solve for x
    x = 4,677,579.58/3,288.23
  6. Step 6: Final answer
    x = 1,422.52

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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.