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Finding the Fourth Proportional to 2,293.69, 3,435.72 and 1,062.14

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Solution

The fourth proportional to 2,293.69, 3,435.72 and 1,062.14 is: 1,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.69 : 3,435.72 = 1,062.14 : x
  2. Step 2: Convert to fraction form
    2,293.69/3,435.72 = 1,062.14/x
  3. Step 3: Cross multiply
    2,293.69x = 3,435.72 × 1,062.14
  4. Step 4: Simplify right side
    2,293.69x = 3,649,204.14
  5. Step 5: Solve for x
    x = 3,649,204.14/2,293.69
  6. Step 6: Final answer
    x = 1,590.97

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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.