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Finding the Fourth Proportional to 2,984.24, 4,473.24 and 1,521.68

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Solution

The fourth proportional to 2,984.24, 4,473.24 and 1,521.68 is: 2,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.24 : 4,473.24 = 1,521.68 : x
  2. Step 2: Convert to fraction form
    2,984.24/4,473.24 = 1,521.68/x
  3. Step 3: Cross multiply
    2,984.24x = 4,473.24 × 1,521.68
  4. Step 4: Simplify right side
    2,984.24x = 6,806,839.84
  5. Step 5: Solve for x
    x = 6,806,839.84/2,984.24
  6. Step 6: Final answer
    x = 2,280.93

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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.