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Finding the Fourth Proportional to 1,672.86, 2,509.42 and 699.24

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Solution

The fourth proportional to 1,672.86, 2,509.42 and 699.24 is: 1,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.86 : 2,509.42 = 699.24 : x
  2. Step 2: Convert to fraction form
    1,672.86/2,509.42 = 699.24/x
  3. Step 3: Cross multiply
    1,672.86x = 2,509.42 × 699.24
  4. Step 4: Simplify right side
    1,672.86x = 1,754,686.84
  5. Step 5: Solve for x
    x = 1,754,686.84/1,672.86
  6. Step 6: Final answer
    x = 1,048.91

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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.