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Finding the Fourth Proportional to 2,126.51, 3,191.22 and 739.83

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Solution

The fourth proportional to 2,126.51, 3,191.22 and 739.83 is: 1,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.51 : 3,191.22 = 739.83 : x
  2. Step 2: Convert to fraction form
    2,126.51/3,191.22 = 739.83/x
  3. Step 3: Cross multiply
    2,126.51x = 3,191.22 × 739.83
  4. Step 4: Simplify right side
    2,126.51x = 2,360,966.42
  5. Step 5: Solve for x
    x = 2,360,966.42/2,126.51
  6. Step 6: Final answer
    x = 1,110.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.