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Finding the Fourth Proportional to 2,295.36, 3,442.02 and 1,062.48

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Solution

The fourth proportional to 2,295.36, 3,442.02 and 1,062.48 is: 1,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.36 : 3,442.02 = 1,062.48 : x
  2. Step 2: Convert to fraction form
    2,295.36/3,442.02 = 1,062.48/x
  3. Step 3: Cross multiply
    2,295.36x = 3,442.02 × 1,062.48
  4. Step 4: Simplify right side
    2,295.36x = 3,657,077.41
  5. Step 5: Solve for x
    x = 3,657,077.41/2,295.36
  6. Step 6: Final answer
    x = 1,593.25

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Why These Related Problems?

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