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Finding the Fourth Proportional to 2,030.69, 3,045.13 and 797.15

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Solution

The fourth proportional to 2,030.69, 3,045.13 and 797.15 is: 1,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.69 : 3,045.13 = 797.15 : x
  2. Step 2: Convert to fraction form
    2,030.69/3,045.13 = 797.15/x
  3. Step 3: Cross multiply
    2,030.69x = 3,045.13 × 797.15
  4. Step 4: Simplify right side
    2,030.69x = 2,427,425.38
  5. Step 5: Solve for x
    x = 2,427,425.38/2,030.69
  6. Step 6: Final answer
    x = 1,195.37

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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.