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Finding the Fourth Proportional to 1,768.47, 2,651.27 and 741.75

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Solution

The fourth proportional to 1,768.47, 2,651.27 and 741.75 is: 1,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.47 : 2,651.27 = 741.75 : x
  2. Step 2: Convert to fraction form
    1,768.47/2,651.27 = 741.75/x
  3. Step 3: Cross multiply
    1,768.47x = 2,651.27 × 741.75
  4. Step 4: Simplify right side
    1,768.47x = 1,966,575.81
  5. Step 5: Solve for x
    x = 1,966,575.81/1,768.47
  6. Step 6: Final answer
    x = 1,112.02

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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.