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Finding the Fourth Proportional to 4,068.54, 6,102.27 and 1,602.72

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Solution

The fourth proportional to 4,068.54, 6,102.27 and 1,602.72 is: 2,403.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.54 : 6,102.27 = 1,602.72 : x
  2. Step 2: Convert to fraction form
    4,068.54/6,102.27 = 1,602.72/x
  3. Step 3: Cross multiply
    4,068.54x = 6,102.27 × 1,602.72
  4. Step 4: Simplify right side
    4,068.54x = 9,780,230.17
  5. Step 5: Solve for x
    x = 9,780,230.17/4,068.54
  6. Step 6: Final answer
    x = 2,403.87

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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.