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Finding the Fourth Proportional to 2,289.62, 3,404.98 and 2,216.72

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Solution

The fourth proportional to 2,289.62, 3,404.98 and 2,216.72 is: 3,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.62 : 3,404.98 = 2,216.72 : x
  2. Step 2: Convert to fraction form
    2,289.62/3,404.98 = 2,216.72/x
  3. Step 3: Cross multiply
    2,289.62x = 3,404.98 × 2,216.72
  4. Step 4: Simplify right side
    2,289.62x = 7,547,887.27
  5. Step 5: Solve for x
    x = 7,547,887.27/2,289.62
  6. Step 6: Final answer
    x = 3,296.57

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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.