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Finding the Fourth Proportional to 2,295, 3,442.57 and 563.63

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Solution

The fourth proportional to 2,295, 3,442.57 and 563.63 is: 845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295 : 3,442.57 = 563.63 : x
  2. Step 2: Convert to fraction form
    2,295/3,442.57 = 563.63/x
  3. Step 3: Cross multiply
    2,295x = 3,442.57 × 563.63
  4. Step 4: Simplify right side
    2,295x = 1,940,317.11
  5. Step 5: Solve for x
    x = 1,940,317.11/2,295
  6. Step 6: Final answer
    x = 845.45

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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.