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Finding the Fourth Proportional to 2,463.48, 3,697.02 and 1,165.32

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Solution

The fourth proportional to 2,463.48, 3,697.02 and 1,165.32 is: 1,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.48 : 3,697.02 = 1,165.32 : x
  2. Step 2: Convert to fraction form
    2,463.48/3,697.02 = 1,165.32/x
  3. Step 3: Cross multiply
    2,463.48x = 3,697.02 × 1,165.32
  4. Step 4: Simplify right side
    2,463.48x = 4,308,211.35
  5. Step 5: Solve for x
    x = 4,308,211.35/2,463.48
  6. Step 6: Final answer
    x = 1,748.83

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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.