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Finding the Fourth Proportional to 2,485, 3,424.98 and 2,223.64

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Solution

The fourth proportional to 2,485, 3,424.98 and 2,223.64 is: 3,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485 : 3,424.98 = 2,223.64 : x
  2. Step 2: Convert to fraction form
    2,485/3,424.98 = 2,223.64/x
  3. Step 3: Cross multiply
    2,485x = 3,424.98 × 2,223.64
  4. Step 4: Simplify right side
    2,485x = 7,615,922.53
  5. Step 5: Solve for x
    x = 7,615,922.53/2,485
  6. Step 6: Final answer
    x = 3,064.76

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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.