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Finding the Fourth Proportional to 2,569.38, 3,853.41 and 720.02

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Solution

The fourth proportional to 2,569.38, 3,853.41 and 720.02 is: 1,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.38 : 3,853.41 = 720.02 : x
  2. Step 2: Convert to fraction form
    2,569.38/3,853.41 = 720.02/x
  3. Step 3: Cross multiply
    2,569.38x = 3,853.41 × 720.02
  4. Step 4: Simplify right side
    2,569.38x = 2,774,513.00
  5. Step 5: Solve for x
    x = 2,774,513.00/2,569.38
  6. Step 6: Final answer
    x = 1,079.84

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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.