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Finding the Fourth Proportional to 2,378.80, 3,565.44 and 991.36

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Solution

The fourth proportional to 2,378.80, 3,565.44 and 991.36 is: 1,485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.80 : 3,565.44 = 991.36 : x
  2. Step 2: Convert to fraction form
    2,378.80/3,565.44 = 991.36/x
  3. Step 3: Cross multiply
    2,378.80x = 3,565.44 × 991.36
  4. Step 4: Simplify right side
    2,378.80x = 3,534,634.60
  5. Step 5: Solve for x
    x = 3,534,634.60/2,378.80
  6. Step 6: Final answer
    x = 1,485.89

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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.