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Finding the Fourth Proportional to 2,410.40, 3,616.25 and 1,023.82

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Solution

The fourth proportional to 2,410.40, 3,616.25 and 1,023.82 is: 1,536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.40 : 3,616.25 = 1,023.82 : x
  2. Step 2: Convert to fraction form
    2,410.40/3,616.25 = 1,023.82/x
  3. Step 3: Cross multiply
    2,410.40x = 3,616.25 × 1,023.82
  4. Step 4: Simplify right side
    2,410.40x = 3,702,374.92
  5. Step 5: Solve for x
    x = 3,702,374.92/2,410.40
  6. Step 6: Final answer
    x = 1,536.00

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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.