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Finding the Fourth Proportional to 2,410.64, 3,616.23 and 766.75

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Solution

The fourth proportional to 2,410.64, 3,616.23 and 766.75 is: 1,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.64 : 3,616.23 = 766.75 : x
  2. Step 2: Convert to fraction form
    2,410.64/3,616.23 = 766.75/x
  3. Step 3: Cross multiply
    2,410.64x = 3,616.23 × 766.75
  4. Step 4: Simplify right side
    2,410.64x = 2,772,744.35
  5. Step 5: Solve for x
    x = 2,772,744.35/2,410.64
  6. Step 6: Final answer
    x = 1,150.21

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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.