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Finding the Fourth Proportional to 2,295.81, 3,442.55 and 1,124.06

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Solution

The fourth proportional to 2,295.81, 3,442.55 and 1,124.06 is: 1,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.81 : 3,442.55 = 1,124.06 : x
  2. Step 2: Convert to fraction form
    2,295.81/3,442.55 = 1,124.06/x
  3. Step 3: Cross multiply
    2,295.81x = 3,442.55 × 1,124.06
  4. Step 4: Simplify right side
    2,295.81x = 3,869,609.92
  5. Step 5: Solve for x
    x = 3,869,609.92/2,295.81
  6. Step 6: Final answer
    x = 1,685.51

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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.