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Finding the Fourth Proportional to 2,709.51, 4,062.11 and 1,065.75

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Solution

The fourth proportional to 2,709.51, 4,062.11 and 1,065.75 is: 1,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.51 : 4,062.11 = 1,065.75 : x
  2. Step 2: Convert to fraction form
    2,709.51/4,062.11 = 1,065.75/x
  3. Step 3: Cross multiply
    2,709.51x = 4,062.11 × 1,065.75
  4. Step 4: Simplify right side
    2,709.51x = 4,329,188.40
  5. Step 5: Solve for x
    x = 4,329,188.40/2,709.51
  6. Step 6: Final answer
    x = 1,597.78

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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.