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Finding the Fourth Proportional to 2,698.07, 4,046.52 and 848.75

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Solution

The fourth proportional to 2,698.07, 4,046.52 and 848.75 is: 1,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.07 : 4,046.52 = 848.75 : x
  2. Step 2: Convert to fraction form
    2,698.07/4,046.52 = 848.75/x
  3. Step 3: Cross multiply
    2,698.07x = 4,046.52 × 848.75
  4. Step 4: Simplify right side
    2,698.07x = 3,434,459.37
  5. Step 5: Solve for x
    x = 3,434,459.37/2,698.07
  6. Step 6: Final answer
    x = 1,272.93

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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.