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Finding the Fourth Proportional to 2,807.74, 4,211.34 and 1,883.80

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Solution

The fourth proportional to 2,807.74, 4,211.34 and 1,883.80 is: 2,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.74 : 4,211.34 = 1,883.80 : x
  2. Step 2: Convert to fraction form
    2,807.74/4,211.34 = 1,883.80/x
  3. Step 3: Cross multiply
    2,807.74x = 4,211.34 × 1,883.80
  4. Step 4: Simplify right side
    2,807.74x = 7,933,322.29
  5. Step 5: Solve for x
    x = 7,933,322.29/2,807.74
  6. Step 6: Final answer
    x = 2,825.52

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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.