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Finding the Fourth Proportional to 3,096.38, 4,645.17 and 1,365

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Solution

The fourth proportional to 3,096.38, 4,645.17 and 1,365 is: 2,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.38 : 4,645.17 = 1,365 : x
  2. Step 2: Convert to fraction form
    3,096.38/4,645.17 = 1,365/x
  3. Step 3: Cross multiply
    3,096.38x = 4,645.17 × 1,365
  4. Step 4: Simplify right side
    3,096.38x = 6,340,657.05
  5. Step 5: Solve for x
    x = 6,340,657.05/3,096.38
  6. Step 6: Final answer
    x = 2,047.77

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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.