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Finding the Fourth Proportional to 2,900.48, 4,004.24 and 2,222.78

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Solution

The fourth proportional to 2,900.48, 4,004.24 and 2,222.78 is: 3,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.48 : 4,004.24 = 2,222.78 : x
  2. Step 2: Convert to fraction form
    2,900.48/4,004.24 = 2,222.78/x
  3. Step 3: Cross multiply
    2,900.48x = 4,004.24 × 2,222.78
  4. Step 4: Simplify right side
    2,900.48x = 8,900,513.45
  5. Step 5: Solve for x
    x = 8,900,513.45/2,900.48
  6. Step 6: Final answer
    x = 3,068.64

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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.