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Finding the Fourth Proportional to 2,362.02, 3,542.94 and 630.63

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Solution

The fourth proportional to 2,362.02, 3,542.94 and 630.63 is: 945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.02 : 3,542.94 = 630.63 : x
  2. Step 2: Convert to fraction form
    2,362.02/3,542.94 = 630.63/x
  3. Step 3: Cross multiply
    2,362.02x = 3,542.94 × 630.63
  4. Step 4: Simplify right side
    2,362.02x = 2,234,284.25
  5. Step 5: Solve for x
    x = 2,234,284.25/2,362.02
  6. Step 6: Final answer
    x = 945.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.