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Finding the Fourth Proportional to 2,021.08, 3,030.27 and 788.61

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Solution

The fourth proportional to 2,021.08, 3,030.27 and 788.61 is: 1,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.08 : 3,030.27 = 788.61 : x
  2. Step 2: Convert to fraction form
    2,021.08/3,030.27 = 788.61/x
  3. Step 3: Cross multiply
    2,021.08x = 3,030.27 × 788.61
  4. Step 4: Simplify right side
    2,021.08x = 2,389,701.22
  5. Step 5: Solve for x
    x = 2,389,701.22/2,021.08
  6. Step 6: Final answer
    x = 1,182.39

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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.