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Finding the Fourth Proportional to 2,295.38, 3,443.13 and 564

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Solution

The fourth proportional to 2,295.38, 3,443.13 and 564 is: 846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.38 : 3,443.13 = 564 : x
  2. Step 2: Convert to fraction form
    2,295.38/3,443.13 = 564/x
  3. Step 3: Cross multiply
    2,295.38x = 3,443.13 × 564
  4. Step 4: Simplify right side
    2,295.38x = 1,941,925.32
  5. Step 5: Solve for x
    x = 1,941,925.32/2,295.38
  6. Step 6: Final answer
    x = 846.02

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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.