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Finding the Fourth Proportional to 1,859.48, 2,790.34 and 689.29

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Solution

The fourth proportional to 1,859.48, 2,790.34 and 689.29 is: 1,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.48 : 2,790.34 = 689.29 : x
  2. Step 2: Convert to fraction form
    1,859.48/2,790.34 = 689.29/x
  3. Step 3: Cross multiply
    1,859.48x = 2,790.34 × 689.29
  4. Step 4: Simplify right side
    1,859.48x = 1,923,344.76
  5. Step 5: Solve for x
    x = 1,923,344.76/1,859.48
  6. Step 6: Final answer
    x = 1,034.35

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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.