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Finding the Fourth Proportional to 2,410.65, 3,616.16 and 1,023.84

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Solution

The fourth proportional to 2,410.65, 3,616.16 and 1,023.84 is: 1,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.65 : 3,616.16 = 1,023.84 : x
  2. Step 2: Convert to fraction form
    2,410.65/3,616.16 = 1,023.84/x
  3. Step 3: Cross multiply
    2,410.65x = 3,616.16 × 1,023.84
  4. Step 4: Simplify right side
    2,410.65x = 3,702,364.14
  5. Step 5: Solve for x
    x = 3,702,364.14/2,410.65
  6. Step 6: Final answer
    x = 1,535.84

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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.