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Finding the Fourth Proportional to 2,698.88, 4,048.24 and 2,538.56

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Solution

The fourth proportional to 2,698.88, 4,048.24 and 2,538.56 is: 3,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.88 : 4,048.24 = 2,538.56 : x
  2. Step 2: Convert to fraction form
    2,698.88/4,048.24 = 2,538.56/x
  3. Step 3: Cross multiply
    2,698.88x = 4,048.24 × 2,538.56
  4. Step 4: Simplify right side
    2,698.88x = 10,276,700.13
  5. Step 5: Solve for x
    x = 10,276,700.13/2,698.88
  6. Step 6: Final answer
    x = 3,807.76

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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.