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Finding the Fourth Proportional to 2,295.82, 3,443.70 and 564.46

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Solution

The fourth proportional to 2,295.82, 3,443.70 and 564.46 is: 846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.82 : 3,443.70 = 564.46 : x
  2. Step 2: Convert to fraction form
    2,295.82/3,443.70 = 564.46/x
  3. Step 3: Cross multiply
    2,295.82x = 3,443.70 × 564.46
  4. Step 4: Simplify right side
    2,295.82x = 1,943,830.90
  5. Step 5: Solve for x
    x = 1,943,830.90/2,295.82
  6. Step 6: Final answer
    x = 846.68

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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.