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Finding the Fourth Proportional to 3,358.05, 5,035.68 and 1,602.78

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Solution

The fourth proportional to 3,358.05, 5,035.68 and 1,602.78 is: 2,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.05 : 5,035.68 = 1,602.78 : x
  2. Step 2: Convert to fraction form
    3,358.05/5,035.68 = 1,602.78/x
  3. Step 3: Cross multiply
    3,358.05x = 5,035.68 × 1,602.78
  4. Step 4: Simplify right side
    3,358.05x = 8,071,087.19
  5. Step 5: Solve for x
    x = 8,071,087.19/3,358.05
  6. Step 6: Final answer
    x = 2,403.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.