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Finding the Fourth Proportional to 2,065.62, 2,851.06 and 1,269.14

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Solution

The fourth proportional to 2,065.62, 2,851.06 and 1,269.14 is: 1,751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.62 : 2,851.06 = 1,269.14 : x
  2. Step 2: Convert to fraction form
    2,065.62/2,851.06 = 1,269.14/x
  3. Step 3: Cross multiply
    2,065.62x = 2,851.06 × 1,269.14
  4. Step 4: Simplify right side
    2,065.62x = 3,618,394.29
  5. Step 5: Solve for x
    x = 3,618,394.29/2,065.62
  6. Step 6: Final answer
    x = 1,751.72

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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.