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Finding the Fourth Proportional to 2,048.81, 3,071.33 and 800.24

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Solution

The fourth proportional to 2,048.81, 3,071.33 and 800.24 is: 1,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.81 : 3,071.33 = 800.24 : x
  2. Step 2: Convert to fraction form
    2,048.81/3,071.33 = 800.24/x
  3. Step 3: Cross multiply
    2,048.81x = 3,071.33 × 800.24
  4. Step 4: Simplify right side
    2,048.81x = 2,457,801.12
  5. Step 5: Solve for x
    x = 2,457,801.12/2,048.81
  6. Step 6: Final answer
    x = 1,199.63

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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.