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Finding the Fourth Proportional to 2,289.69, 3,417.80 and 1,967.13

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Solution

The fourth proportional to 2,289.69, 3,417.80 and 1,967.13 is: 2,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.69 : 3,417.80 = 1,967.13 : x
  2. Step 2: Convert to fraction form
    2,289.69/3,417.80 = 1,967.13/x
  3. Step 3: Cross multiply
    2,289.69x = 3,417.80 × 1,967.13
  4. Step 4: Simplify right side
    2,289.69x = 6,723,247.08
  5. Step 5: Solve for x
    x = 6,723,247.08/2,289.69
  6. Step 6: Final answer
    x = 2,936.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.