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Finding the Fourth Proportional to 2,382.48, 3,573.72 and 994.95

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Solution

The fourth proportional to 2,382.48, 3,573.72 and 994.95 is: 1,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.48 : 3,573.72 = 994.95 : x
  2. Step 2: Convert to fraction form
    2,382.48/3,573.72 = 994.95/x
  3. Step 3: Cross multiply
    2,382.48x = 3,573.72 × 994.95
  4. Step 4: Simplify right side
    2,382.48x = 3,555,672.71
  5. Step 5: Solve for x
    x = 3,555,672.71/2,382.48
  6. Step 6: Final answer
    x = 1,492.43

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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.