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Finding the Fourth Proportional to 1,849.04, 2,774.04 and 695.12

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Solution

The fourth proportional to 1,849.04, 2,774.04 and 695.12 is: 1,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.04 : 2,774.04 = 695.12 : x
  2. Step 2: Convert to fraction form
    1,849.04/2,774.04 = 695.12/x
  3. Step 3: Cross multiply
    1,849.04x = 2,774.04 × 695.12
  4. Step 4: Simplify right side
    1,849.04x = 1,928,290.68
  5. Step 5: Solve for x
    x = 1,928,290.68/1,849.04
  6. Step 6: Final answer
    x = 1,042.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.