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Finding the Fourth Proportional to 1,849.40, 2,774.40 and 695.24

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Solution

The fourth proportional to 1,849.40, 2,774.40 and 695.24 is: 1,042.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.40 : 2,774.40 = 695.24 : x
  2. Step 2: Convert to fraction form
    1,849.40/2,774.40 = 695.24/x
  3. Step 3: Cross multiply
    1,849.40x = 2,774.40 × 695.24
  4. Step 4: Simplify right side
    1,849.40x = 1,928,873.86
  5. Step 5: Solve for x
    x = 1,928,873.86/1,849.40
  6. Step 6: Final answer
    x = 1,042.97

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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.