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Finding the Fourth Proportional to 2,030.68, 2,795.11 and 1,440.19

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Solution

The fourth proportional to 2,030.68, 2,795.11 and 1,440.19 is: 1,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.68 : 2,795.11 = 1,440.19 : x
  2. Step 2: Convert to fraction form
    2,030.68/2,795.11 = 1,440.19/x
  3. Step 3: Cross multiply
    2,030.68x = 2,795.11 × 1,440.19
  4. Step 4: Simplify right side
    2,030.68x = 4,025,489.47
  5. Step 5: Solve for x
    x = 4,025,489.47/2,030.68
  6. Step 6: Final answer
    x = 1,982.34

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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.