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Finding the Fourth Proportional to 3,002.65, 4,504.79 and 922.62

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Solution

The fourth proportional to 3,002.65, 4,504.79 and 922.62 is: 1,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.65 : 4,504.79 = 922.62 : x
  2. Step 2: Convert to fraction form
    3,002.65/4,504.79 = 922.62/x
  3. Step 3: Cross multiply
    3,002.65x = 4,504.79 × 922.62
  4. Step 4: Simplify right side
    3,002.65x = 4,156,182.21
  5. Step 5: Solve for x
    x = 4,156,182.21/3,002.65
  6. Step 6: Final answer
    x = 1,384.17

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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.