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Finding the Fourth Proportional to 2,023.10, 3,034.63 and 790.63

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Solution

The fourth proportional to 2,023.10, 3,034.63 and 790.63 is: 1,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.10 : 3,034.63 = 790.63 : x
  2. Step 2: Convert to fraction form
    2,023.10/3,034.63 = 790.63/x
  3. Step 3: Cross multiply
    2,023.10x = 3,034.63 × 790.63
  4. Step 4: Simplify right side
    2,023.10x = 2,399,269.52
  5. Step 5: Solve for x
    x = 2,399,269.52/2,023.10
  6. Step 6: Final answer
    x = 1,185.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.