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Finding the Fourth Proportional to 2,410.80, 3,616.20 and 1,023.93

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Solution

The fourth proportional to 2,410.80, 3,616.20 and 1,023.93 is: 1,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.80 : 3,616.20 = 1,023.93 : x
  2. Step 2: Convert to fraction form
    2,410.80/3,616.20 = 1,023.93/x
  3. Step 3: Cross multiply
    2,410.80x = 3,616.20 × 1,023.93
  4. Step 4: Simplify right side
    2,410.80x = 3,702,735.67
  5. Step 5: Solve for x
    x = 3,702,735.67/2,410.80
  6. Step 6: Final answer
    x = 1,535.90

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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.