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Finding the Fourth Proportional to 2,295.95, 3,443.46 and 1,125.44

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Solution

The fourth proportional to 2,295.95, 3,443.46 and 1,125.44 is: 1,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.95 : 3,443.46 = 1,125.44 : x
  2. Step 2: Convert to fraction form
    2,295.95/3,443.46 = 1,125.44/x
  3. Step 3: Cross multiply
    2,295.95x = 3,443.46 × 1,125.44
  4. Step 4: Simplify right side
    2,295.95x = 3,875,399.10
  5. Step 5: Solve for x
    x = 3,875,399.10/2,295.95
  6. Step 6: Final answer
    x = 1,687.93

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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.