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Finding the Fourth Proportional to 2,369.15, 3,269.20 and 2,289.53

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Solution

The fourth proportional to 2,369.15, 3,269.20 and 2,289.53 is: 3,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.15 : 3,269.20 = 2,289.53 : x
  2. Step 2: Convert to fraction form
    2,369.15/3,269.20 = 2,289.53/x
  3. Step 3: Cross multiply
    2,369.15x = 3,269.20 × 2,289.53
  4. Step 4: Simplify right side
    2,369.15x = 7,484,932.40
  5. Step 5: Solve for x
    x = 7,484,932.40/2,369.15
  6. Step 6: Final answer
    x = 3,159.34

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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.