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Finding the Fourth Proportional to 2,030.81, 2,802.11 and 1,234.56

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Solution

The fourth proportional to 2,030.81, 2,802.11 and 1,234.56 is: 1,703.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.81 : 2,802.11 = 1,234.56 : x
  2. Step 2: Convert to fraction form
    2,030.81/2,802.11 = 1,234.56/x
  3. Step 3: Cross multiply
    2,030.81x = 2,802.11 × 1,234.56
  4. Step 4: Simplify right side
    2,030.81x = 3,459,372.92
  5. Step 5: Solve for x
    x = 3,459,372.92/2,030.81
  6. Step 6: Final answer
    x = 1,703.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.