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Finding the Fourth Proportional to 2,030.11, 3,045.47 and 860.12

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Solution

The fourth proportional to 2,030.11, 3,045.47 and 860.12 is: 1,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.11 : 3,045.47 = 860.12 : x
  2. Step 2: Convert to fraction form
    2,030.11/3,045.47 = 860.12/x
  3. Step 3: Cross multiply
    2,030.11x = 3,045.47 × 860.12
  4. Step 4: Simplify right side
    2,030.11x = 2,619,469.66
  5. Step 5: Solve for x
    x = 2,619,469.66/2,030.11
  6. Step 6: Final answer
    x = 1,290.31

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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.