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Finding the Fourth Proportional to 2,502.99, 3,754.86 and 860.01

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Solution

The fourth proportional to 2,502.99, 3,754.86 and 860.01 is: 1,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.99 : 3,754.86 = 860.01 : x
  2. Step 2: Convert to fraction form
    2,502.99/3,754.86 = 860.01/x
  3. Step 3: Cross multiply
    2,502.99x = 3,754.86 × 860.01
  4. Step 4: Simplify right side
    2,502.99x = 3,229,217.15
  5. Step 5: Solve for x
    x = 3,229,217.15/2,502.99
  6. Step 6: Final answer
    x = 1,290.14

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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.