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Finding the Fourth Proportional to 2,295.80, 3,443.66 and 564.40

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Solution

The fourth proportional to 2,295.80, 3,443.66 and 564.40 is: 846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.80 : 3,443.66 = 564.40 : x
  2. Step 2: Convert to fraction form
    2,295.80/3,443.66 = 564.40/x
  3. Step 3: Cross multiply
    2,295.80x = 3,443.66 × 564.40
  4. Step 4: Simplify right side
    2,295.80x = 1,943,601.70
  5. Step 5: Solve for x
    x = 1,943,601.70/2,295.80
  6. Step 6: Final answer
    x = 846.59

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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.