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Finding the Fourth Proportional to 2,259.66, 3,389.70 and 699.66

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Solution

The fourth proportional to 2,259.66, 3,389.70 and 699.66 is: 1,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.66 : 3,389.70 = 699.66 : x
  2. Step 2: Convert to fraction form
    2,259.66/3,389.70 = 699.66/x
  3. Step 3: Cross multiply
    2,259.66x = 3,389.70 × 699.66
  4. Step 4: Simplify right side
    2,259.66x = 2,371,637.50
  5. Step 5: Solve for x
    x = 2,371,637.50/2,259.66
  6. Step 6: Final answer
    x = 1,049.56

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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.