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Finding the Fourth Proportional to 3,420.81, 4,717.60 and 2,301.64

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Solution

The fourth proportional to 3,420.81, 4,717.60 and 2,301.64 is: 3,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.81 : 4,717.60 = 2,301.64 : x
  2. Step 2: Convert to fraction form
    3,420.81/4,717.60 = 2,301.64/x
  3. Step 3: Cross multiply
    3,420.81x = 4,717.60 × 2,301.64
  4. Step 4: Simplify right side
    3,420.81x = 10,858,199.32
  5. Step 5: Solve for x
    x = 10,858,199.32/3,420.81
  6. Step 6: Final answer
    x = 3,174.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.