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Finding the Fourth Proportional to 2,036.24, 3,054.71 and 649.62

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Solution

The fourth proportional to 2,036.24, 3,054.71 and 649.62 is: 974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.24 : 3,054.71 = 649.62 : x
  2. Step 2: Convert to fraction form
    2,036.24/3,054.71 = 649.62/x
  3. Step 3: Cross multiply
    2,036.24x = 3,054.71 × 649.62
  4. Step 4: Simplify right side
    2,036.24x = 1,984,402.33
  5. Step 5: Solve for x
    x = 1,984,402.33/2,036.24
  6. Step 6: Final answer
    x = 974.54

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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.