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Finding the Fourth Proportional to 2,698.07, 3,699.05 and 2,648.86

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Solution

The fourth proportional to 2,698.07, 3,699.05 and 2,648.86 is: 3,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.07 : 3,699.05 = 2,648.86 : x
  2. Step 2: Convert to fraction form
    2,698.07/3,699.05 = 2,648.86/x
  3. Step 3: Cross multiply
    2,698.07x = 3,699.05 × 2,648.86
  4. Step 4: Simplify right side
    2,698.07x = 9,798,243.09
  5. Step 5: Solve for x
    x = 9,798,243.09/2,698.07
  6. Step 6: Final answer
    x = 3,631.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.