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Finding the Fourth Proportional to 2,023.59, 3,033.77 and 790.77

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Solution

The fourth proportional to 2,023.59, 3,033.77 and 790.77 is: 1,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.59 : 3,033.77 = 790.77 : x
  2. Step 2: Convert to fraction form
    2,023.59/3,033.77 = 790.77/x
  3. Step 3: Cross multiply
    2,023.59x = 3,033.77 × 790.77
  4. Step 4: Simplify right side
    2,023.59x = 2,399,010.35
  5. Step 5: Solve for x
    x = 2,399,010.35/2,023.59
  6. Step 6: Final answer
    x = 1,185.52

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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.