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Finding the Fourth Proportional to 2,698.77, 4,048.58 and 2,349.61

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Solution

The fourth proportional to 2,698.77, 4,048.58 and 2,349.61 is: 3,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.77 : 4,048.58 = 2,349.61 : x
  2. Step 2: Convert to fraction form
    2,698.77/4,048.58 = 2,349.61/x
  3. Step 3: Cross multiply
    2,698.77x = 4,048.58 × 2,349.61
  4. Step 4: Simplify right side
    2,698.77x = 9,512,579.81
  5. Step 5: Solve for x
    x = 9,512,579.81/2,698.77
  6. Step 6: Final answer
    x = 3,524.79

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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.