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Finding the Fourth Proportional to 2,421, 3,631.97 and 777.57

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Solution

The fourth proportional to 2,421, 3,631.97 and 777.57 is: 1,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421 : 3,631.97 = 777.57 : x
  2. Step 2: Convert to fraction form
    2,421/3,631.97 = 777.57/x
  3. Step 3: Cross multiply
    2,421x = 3,631.97 × 777.57
  4. Step 4: Simplify right side
    2,421x = 2,824,110.91
  5. Step 5: Solve for x
    x = 2,824,110.91/2,421
  6. Step 6: Final answer
    x = 1,166.51

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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.