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Finding the Fourth Proportional to 2,607.85, 3,911.78 and 660.05

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Solution

The fourth proportional to 2,607.85, 3,911.78 and 660.05 is: 990.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.85 : 3,911.78 = 660.05 : x
  2. Step 2: Convert to fraction form
    2,607.85/3,911.78 = 660.05/x
  3. Step 3: Cross multiply
    2,607.85x = 3,911.78 × 660.05
  4. Step 4: Simplify right side
    2,607.85x = 2,581,970.39
  5. Step 5: Solve for x
    x = 2,581,970.39/2,607.85
  6. Step 6: Final answer
    x = 990.08

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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.