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Finding the Fourth Proportional to 2,295.81, 3,443.31 and 652.32

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Solution

The fourth proportional to 2,295.81, 3,443.31 and 652.32 is: 978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.81 : 3,443.31 = 652.32 : x
  2. Step 2: Convert to fraction form
    2,295.81/3,443.31 = 652.32/x
  3. Step 3: Cross multiply
    2,295.81x = 3,443.31 × 652.32
  4. Step 4: Simplify right side
    2,295.81x = 2,246,139.98
  5. Step 5: Solve for x
    x = 2,246,139.98/2,295.81
  6. Step 6: Final answer
    x = 978.36

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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.