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Finding the Fourth Proportional to 2,159.99, 3,240.50 and 699.15

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Solution

The fourth proportional to 2,159.99, 3,240.50 and 699.15 is: 1,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.99 : 3,240.50 = 699.15 : x
  2. Step 2: Convert to fraction form
    2,159.99/3,240.50 = 699.15/x
  3. Step 3: Cross multiply
    2,159.99x = 3,240.50 × 699.15
  4. Step 4: Simplify right side
    2,159.99x = 2,265,581.99
  5. Step 5: Solve for x
    x = 2,265,581.99/2,159.99
  6. Step 6: Final answer
    x = 1,048.88

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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.