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Finding the Fourth Proportional to 1,470.52, 2,204.69 and 949.46

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Solution

The fourth proportional to 1,470.52, 2,204.69 and 949.46 is: 1,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.52 : 2,204.69 = 949.46 : x
  2. Step 2: Convert to fraction form
    1,470.52/2,204.69 = 949.46/x
  3. Step 3: Cross multiply
    1,470.52x = 2,204.69 × 949.46
  4. Step 4: Simplify right side
    1,470.52x = 2,093,249.20
  5. Step 5: Solve for x
    x = 2,093,249.20/1,470.52
  6. Step 6: Final answer
    x = 1,423.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.