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Finding the Fourth Proportional to 1,883.40, 2,825.52 and 713.39

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Solution

The fourth proportional to 1,883.40, 2,825.52 and 713.39 is: 1,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.40 : 2,825.52 = 713.39 : x
  2. Step 2: Convert to fraction form
    1,883.40/2,825.52 = 713.39/x
  3. Step 3: Cross multiply
    1,883.40x = 2,825.52 × 713.39
  4. Step 4: Simplify right side
    1,883.40x = 2,015,711.73
  5. Step 5: Solve for x
    x = 2,015,711.73/1,883.40
  6. Step 6: Final answer
    x = 1,070.25

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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.