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Finding the Fourth Proportional to 2,402.05, 3,602.16 and 940.87

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Solution

The fourth proportional to 2,402.05, 3,602.16 and 940.87 is: 1,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.05 : 3,602.16 = 940.87 : x
  2. Step 2: Convert to fraction form
    2,402.05/3,602.16 = 940.87/x
  3. Step 3: Cross multiply
    2,402.05x = 3,602.16 × 940.87
  4. Step 4: Simplify right side
    2,402.05x = 3,389,164.28
  5. Step 5: Solve for x
    x = 3,389,164.28/2,402.05
  6. Step 6: Final answer
    x = 1,410.95

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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.