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Finding the Fourth Proportional to 1,527.78, 2,108.49 and 864.81

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Solution

The fourth proportional to 1,527.78, 2,108.49 and 864.81 is: 1,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.78 : 2,108.49 = 864.81 : x
  2. Step 2: Convert to fraction form
    1,527.78/2,108.49 = 864.81/x
  3. Step 3: Cross multiply
    1,527.78x = 2,108.49 × 864.81
  4. Step 4: Simplify right side
    1,527.78x = 1,823,443.24
  5. Step 5: Solve for x
    x = 1,823,443.24/1,527.78
  6. Step 6: Final answer
    x = 1,193.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.