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Finding the Fourth Proportional to 2,410.76, 3,616.35 and 655.86

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Solution

The fourth proportional to 2,410.76, 3,616.35 and 655.86 is: 983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.76 : 3,616.35 = 655.86 : x
  2. Step 2: Convert to fraction form
    2,410.76/3,616.35 = 655.86/x
  3. Step 3: Cross multiply
    2,410.76x = 3,616.35 × 655.86
  4. Step 4: Simplify right side
    2,410.76x = 2,371,819.31
  5. Step 5: Solve for x
    x = 2,371,819.31/2,410.76
  6. Step 6: Final answer
    x = 983.85

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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.