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Finding the Fourth Proportional to 2,223.45, 3,069 and 1,560.47

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Solution

The fourth proportional to 2,223.45, 3,069 and 1,560.47 is: 2,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.45 : 3,069 = 1,560.47 : x
  2. Step 2: Convert to fraction form
    2,223.45/3,069 = 1,560.47/x
  3. Step 3: Cross multiply
    2,223.45x = 3,069 × 1,560.47
  4. Step 4: Simplify right side
    2,223.45x = 4,789,067.09
  5. Step 5: Solve for x
    x = 4,789,067.09/2,223.45
  6. Step 6: Final answer
    x = 2,153.89

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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.