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Finding the Fourth Proportional to 1,874.29, 2,809.29 and 1,142.24

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Solution

The fourth proportional to 1,874.29, 2,809.29 and 1,142.24 is: 1,712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.29 : 2,809.29 = 1,142.24 : x
  2. Step 2: Convert to fraction form
    1,874.29/2,809.29 = 1,142.24/x
  3. Step 3: Cross multiply
    1,874.29x = 2,809.29 × 1,142.24
  4. Step 4: Simplify right side
    1,874.29x = 3,208,883.41
  5. Step 5: Solve for x
    x = 3,208,883.41/1,874.29
  6. Step 6: Final answer
    x = 1,712.06

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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.