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Finding the Fourth Proportional to 2,559.97, 3,840.03 and 999.91

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Solution

The fourth proportional to 2,559.97, 3,840.03 and 999.91 is: 1,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.97 : 3,840.03 = 999.91 : x
  2. Step 2: Convert to fraction form
    2,559.97/3,840.03 = 999.91/x
  3. Step 3: Cross multiply
    2,559.97x = 3,840.03 × 999.91
  4. Step 4: Simplify right side
    2,559.97x = 3,839,684.40
  5. Step 5: Solve for x
    x = 3,839,684.40/2,559.97
  6. Step 6: Final answer
    x = 1,499.89

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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.