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Finding the Fourth Proportional to 1,929.42, 2,892.46 and 697.71

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Solution

The fourth proportional to 1,929.42, 2,892.46 and 697.71 is: 1,045.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.42 : 2,892.46 = 697.71 : x
  2. Step 2: Convert to fraction form
    1,929.42/2,892.46 = 697.71/x
  3. Step 3: Cross multiply
    1,929.42x = 2,892.46 × 697.71
  4. Step 4: Simplify right side
    1,929.42x = 2,018,108.68
  5. Step 5: Solve for x
    x = 2,018,108.68/1,929.42
  6. Step 6: Final answer
    x = 1,045.97

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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.