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Finding the Fourth Proportional to 2,189.95, 3,285.48 and 630.07

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Solution

The fourth proportional to 2,189.95, 3,285.48 and 630.07 is: 945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.95 : 3,285.48 = 630.07 : x
  2. Step 2: Convert to fraction form
    2,189.95/3,285.48 = 630.07/x
  3. Step 3: Cross multiply
    2,189.95x = 3,285.48 × 630.07
  4. Step 4: Simplify right side
    2,189.95x = 2,070,092.48
  5. Step 5: Solve for x
    x = 2,070,092.48/2,189.95
  6. Step 6: Final answer
    x = 945.27

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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.