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Finding the Fourth Proportional to 1,609.47, 2,414.21 and 994.95

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Solution

The fourth proportional to 1,609.47, 2,414.21 and 994.95 is: 1,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.47 : 2,414.21 = 994.95 : x
  2. Step 2: Convert to fraction form
    1,609.47/2,414.21 = 994.95/x
  3. Step 3: Cross multiply
    1,609.47x = 2,414.21 × 994.95
  4. Step 4: Simplify right side
    1,609.47x = 2,402,013.26
  5. Step 5: Solve for x
    x = 2,402,013.26/1,609.47
  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.