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Finding the Fourth Proportional to 2,295.53, 3,442.77 and 1,124.36

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Solution

The fourth proportional to 2,295.53, 3,442.77 and 1,124.36 is: 1,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.53 : 3,442.77 = 1,124.36 : x
  2. Step 2: Convert to fraction form
    2,295.53/3,442.77 = 1,124.36/x
  3. Step 3: Cross multiply
    2,295.53x = 3,442.77 × 1,124.36
  4. Step 4: Simplify right side
    2,295.53x = 3,870,908.57
  5. Step 5: Solve for x
    x = 3,870,908.57/2,295.53
  6. Step 6: Final answer
    x = 1,686.28

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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.