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Finding the Fourth Proportional to 1,909.42, 2,648.47 and 1,858.84

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Solution

The fourth proportional to 1,909.42, 2,648.47 and 1,858.84 is: 2,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.42 : 2,648.47 = 1,858.84 : x
  2. Step 2: Convert to fraction form
    1,909.42/2,648.47 = 1,858.84/x
  3. Step 3: Cross multiply
    1,909.42x = 2,648.47 × 1,858.84
  4. Step 4: Simplify right side
    1,909.42x = 4,923,081.97
  5. Step 5: Solve for x
    x = 4,923,081.97/1,909.42
  6. Step 6: Final answer
    x = 2,578.31

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.