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Finding the Fourth Proportional to 1,971.60, 2,721.96 and 1,226.52

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Solution

The fourth proportional to 1,971.60, 2,721.96 and 1,226.52 is: 1,693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.60 : 2,721.96 = 1,226.52 : x
  2. Step 2: Convert to fraction form
    1,971.60/2,721.96 = 1,226.52/x
  3. Step 3: Cross multiply
    1,971.60x = 2,721.96 × 1,226.52
  4. Step 4: Simplify right side
    1,971.60x = 3,338,538.38
  5. Step 5: Solve for x
    x = 3,338,538.38/1,971.60
  6. Step 6: Final answer
    x = 1,693.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.