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Finding the Fourth Proportional to 1,911, 2,864.52 and 816.06

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Solution

The fourth proportional to 1,911, 2,864.52 and 816.06 is: 1,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911 : 2,864.52 = 816.06 : x
  2. Step 2: Convert to fraction form
    1,911/2,864.52 = 816.06/x
  3. Step 3: Cross multiply
    1,911x = 2,864.52 × 816.06
  4. Step 4: Simplify right side
    1,911x = 2,337,620.19
  5. Step 5: Solve for x
    x = 2,337,620.19/1,911
  6. Step 6: Final answer
    x = 1,223.24

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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.