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Finding the Fourth Proportional to 2,036.12, 3,053.24 and 649.18

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Solution

The fourth proportional to 2,036.12, 3,053.24 and 649.18 is: 973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.12 : 3,053.24 = 649.18 : x
  2. Step 2: Convert to fraction form
    2,036.12/3,053.24 = 649.18/x
  3. Step 3: Cross multiply
    2,036.12x = 3,053.24 × 649.18
  4. Step 4: Simplify right side
    2,036.12x = 1,982,102.34
  5. Step 5: Solve for x
    x = 1,982,102.34/2,036.12
  6. Step 6: Final answer
    x = 973.47

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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.