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Finding the Fourth Proportional to 2,801.36, 4,202.04 and 2,455.76

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Solution

The fourth proportional to 2,801.36, 4,202.04 and 2,455.76 is: 3,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.36 : 4,202.04 = 2,455.76 : x
  2. Step 2: Convert to fraction form
    2,801.36/4,202.04 = 2,455.76/x
  3. Step 3: Cross multiply
    2,801.36x = 4,202.04 × 2,455.76
  4. Step 4: Simplify right side
    2,801.36x = 10,319,201.75
  5. Step 5: Solve for x
    x = 10,319,201.75/2,801.36
  6. Step 6: Final answer
    x = 3,683.64

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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.