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Finding the Fourth Proportional to 3,306.84, 4,960.84 and 1,528

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Solution

The fourth proportional to 3,306.84, 4,960.84 and 1,528 is: 2,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.84 : 4,960.84 = 1,528 : x
  2. Step 2: Convert to fraction form
    3,306.84/4,960.84 = 1,528/x
  3. Step 3: Cross multiply
    3,306.84x = 4,960.84 × 1,528
  4. Step 4: Simplify right side
    3,306.84x = 7,580,163.52
  5. Step 5: Solve for x
    x = 7,580,163.52/3,306.84
  6. Step 6: Final answer
    x = 2,292.27

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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.