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Finding the Fourth Proportional to 2,225.85, 3,068.85 and 1,469.52

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Solution

The fourth proportional to 2,225.85, 3,068.85 and 1,469.52 is: 2,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.85 : 3,068.85 = 1,469.52 : x
  2. Step 2: Convert to fraction form
    2,225.85/3,068.85 = 1,469.52/x
  3. Step 3: Cross multiply
    2,225.85x = 3,068.85 × 1,469.52
  4. Step 4: Simplify right side
    2,225.85x = 4,509,736.45
  5. Step 5: Solve for x
    x = 4,509,736.45/2,225.85
  6. Step 6: Final answer
    x = 2,026.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.