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Finding the Fourth Proportional to 1,539.99, 2,304.15 and 944.88

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Solution

The fourth proportional to 1,539.99, 2,304.15 and 944.88 is: 1,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.99 : 2,304.15 = 944.88 : x
  2. Step 2: Convert to fraction form
    1,539.99/2,304.15 = 944.88/x
  3. Step 3: Cross multiply
    1,539.99x = 2,304.15 × 944.88
  4. Step 4: Simplify right side
    1,539.99x = 2,177,145.25
  5. Step 5: Solve for x
    x = 2,177,145.25/1,539.99
  6. Step 6: Final answer
    x = 1,413.74

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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.