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Finding the Fourth Proportional to 1,892.30, 2,838.46 and 576.07

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Solution

The fourth proportional to 1,892.30, 2,838.46 and 576.07 is: 864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.30 : 2,838.46 = 576.07 : x
  2. Step 2: Convert to fraction form
    1,892.30/2,838.46 = 576.07/x
  3. Step 3: Cross multiply
    1,892.30x = 2,838.46 × 576.07
  4. Step 4: Simplify right side
    1,892.30x = 1,635,151.65
  5. Step 5: Solve for x
    x = 1,635,151.65/1,892.30
  6. Step 6: Final answer
    x = 864.11

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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.