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Finding the Fourth Proportional to 1,699.29, 2,544.81 and 864.15

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Solution

The fourth proportional to 1,699.29, 2,544.81 and 864.15 is: 1,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.29 : 2,544.81 = 864.15 : x
  2. Step 2: Convert to fraction form
    1,699.29/2,544.81 = 864.15/x
  3. Step 3: Cross multiply
    1,699.29x = 2,544.81 × 864.15
  4. Step 4: Simplify right side
    1,699.29x = 2,199,103.98
  5. Step 5: Solve for x
    x = 2,199,103.98/1,699.29
  6. Step 6: Final answer
    x = 1,294.13

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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.