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Finding the Fourth Proportional to 1,790.82, 2,686.37 and 695.10

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Solution

The fourth proportional to 1,790.82, 2,686.37 and 695.10 is: 1,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.82 : 2,686.37 = 695.10 : x
  2. Step 2: Convert to fraction form
    1,790.82/2,686.37 = 695.10/x
  3. Step 3: Cross multiply
    1,790.82x = 2,686.37 × 695.10
  4. Step 4: Simplify right side
    1,790.82x = 1,867,295.79
  5. Step 5: Solve for x
    x = 1,867,295.79/1,790.82
  6. Step 6: Final answer
    x = 1,042.70

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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.