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Finding the Fourth Proportional to 2,190.47, 3,285.14 and 630.47

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Solution

The fourth proportional to 2,190.47, 3,285.14 and 630.47 is: 945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.47 : 3,285.14 = 630.47 : x
  2. Step 2: Convert to fraction form
    2,190.47/3,285.14 = 630.47/x
  3. Step 3: Cross multiply
    2,190.47x = 3,285.14 × 630.47
  4. Step 4: Simplify right side
    2,190.47x = 2,071,187.28
  5. Step 5: Solve for x
    x = 2,071,187.28/2,190.47
  6. Step 6: Final answer
    x = 945.55

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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.