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Finding the Fourth Proportional to 1,971.86, 2,721.02 and 1,132.44

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Solution

The fourth proportional to 1,971.86, 2,721.02 and 1,132.44 is: 1,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.86 : 2,721.02 = 1,132.44 : x
  2. Step 2: Convert to fraction form
    1,971.86/2,721.02 = 1,132.44/x
  3. Step 3: Cross multiply
    1,971.86x = 2,721.02 × 1,132.44
  4. Step 4: Simplify right side
    1,971.86x = 3,081,386.23
  5. Step 5: Solve for x
    x = 3,081,386.23/1,971.86
  6. Step 6: Final answer
    x = 1,562.68

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