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Finding the Fourth Proportional to 1,883.32, 2,825.40 and 584.80

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Solution

The fourth proportional to 1,883.32, 2,825.40 and 584.80 is: 877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.32 : 2,825.40 = 584.80 : x
  2. Step 2: Convert to fraction form
    1,883.32/2,825.40 = 584.80/x
  3. Step 3: Cross multiply
    1,883.32x = 2,825.40 × 584.80
  4. Step 4: Simplify right side
    1,883.32x = 1,652,293.92
  5. Step 5: Solve for x
    x = 1,652,293.92/1,883.32
  6. Step 6: Final answer
    x = 877.33

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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.