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Finding the Fourth Proportional to 1,971.66, 2,720.88 and 1,132.38

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Solution

The fourth proportional to 1,971.66, 2,720.88 and 1,132.38 is: 1,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.66 : 2,720.88 = 1,132.38 : x
  2. Step 2: Convert to fraction form
    1,971.66/2,720.88 = 1,132.38/x
  3. Step 3: Cross multiply
    1,971.66x = 2,720.88 × 1,132.38
  4. Step 4: Simplify right side
    1,971.66x = 3,081,070.09
  5. Step 5: Solve for x
    x = 3,081,070.09/1,971.66
  6. Step 6: Final answer
    x = 1,562.68

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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.