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Finding the Fourth Proportional to 2,294.63, 3,442.01 and 563.25

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Solution

The fourth proportional to 2,294.63, 3,442.01 and 563.25 is: 844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.63 : 3,442.01 = 563.25 : x
  2. Step 2: Convert to fraction form
    2,294.63/3,442.01 = 563.25/x
  3. Step 3: Cross multiply
    2,294.63x = 3,442.01 × 563.25
  4. Step 4: Simplify right side
    2,294.63x = 1,938,709.32
  5. Step 5: Solve for x
    x = 1,938,709.32/2,294.63
  6. Step 6: Final answer
    x = 844.89

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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.