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Finding the Fourth Proportional to 1,646.97, 2,470.97 and 989.56

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Solution

The fourth proportional to 1,646.97, 2,470.97 and 989.56 is: 1,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.97 : 2,470.97 = 989.56 : x
  2. Step 2: Convert to fraction form
    1,646.97/2,470.97 = 989.56/x
  3. Step 3: Cross multiply
    1,646.97x = 2,470.97 × 989.56
  4. Step 4: Simplify right side
    1,646.97x = 2,445,173.07
  5. Step 5: Solve for x
    x = 2,445,173.07/1,646.97
  6. Step 6: Final answer
    x = 1,484.65

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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.