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Finding the Fourth Proportional to 2,259.16, 3,385.67 and 2,192.67

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Solution

The fourth proportional to 2,259.16, 3,385.67 and 2,192.67 is: 3,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.16 : 3,385.67 = 2,192.67 : x
  2. Step 2: Convert to fraction form
    2,259.16/3,385.67 = 2,192.67/x
  3. Step 3: Cross multiply
    2,259.16x = 3,385.67 × 2,192.67
  4. Step 4: Simplify right side
    2,259.16x = 7,423,646.08
  5. Step 5: Solve for x
    x = 7,423,646.08/2,259.16
  6. Step 6: Final answer
    x = 3,286.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.