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Finding the Fourth Proportional to 1,853.88, 2,551.86 and 1,678.92

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Solution

The fourth proportional to 1,853.88, 2,551.86 and 1,678.92 is: 2,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.88 : 2,551.86 = 1,678.92 : x
  2. Step 2: Convert to fraction form
    1,853.88/2,551.86 = 1,678.92/x
  3. Step 3: Cross multiply
    1,853.88x = 2,551.86 × 1,678.92
  4. Step 4: Simplify right side
    1,853.88x = 4,284,368.79
  5. Step 5: Solve for x
    x = 4,284,368.79/1,853.88
  6. Step 6: Final answer
    x = 2,311.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.