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Finding the Fourth Proportional to 2,350.65, 3,525.97 and 707.19

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Solution

The fourth proportional to 2,350.65, 3,525.97 and 707.19 is: 1,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.65 : 3,525.97 = 707.19 : x
  2. Step 2: Convert to fraction form
    2,350.65/3,525.97 = 707.19/x
  3. Step 3: Cross multiply
    2,350.65x = 3,525.97 × 707.19
  4. Step 4: Simplify right side
    2,350.65x = 2,493,530.72
  5. Step 5: Solve for x
    x = 2,493,530.72/2,350.65
  6. Step 6: Final answer
    x = 1,060.78

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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.