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Finding the Fourth Proportional to 2,751.65, 4,125.65 and 902.11

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Solution

The fourth proportional to 2,751.65, 4,125.65 and 902.11 is: 1,352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.65 : 4,125.65 = 902.11 : x
  2. Step 2: Convert to fraction form
    2,751.65/4,125.65 = 902.11/x
  3. Step 3: Cross multiply
    2,751.65x = 4,125.65 × 902.11
  4. Step 4: Simplify right side
    2,751.65x = 3,721,790.12
  5. Step 5: Solve for x
    x = 3,721,790.12/2,751.65
  6. Step 6: Final answer
    x = 1,352.57

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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.