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Finding the Fourth Proportional to 2,464.72, 3,697.08 and 1,438

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Solution

The fourth proportional to 2,464.72, 3,697.08 and 1,438 is: 2,157

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.72 : 3,697.08 = 1,438 : x
  2. Step 2: Convert to fraction form
    2,464.72/3,697.08 = 1,438/x
  3. Step 3: Cross multiply
    2,464.72x = 3,697.08 × 1,438
  4. Step 4: Simplify right side
    2,464.72x = 5,316,401.04
  5. Step 5: Solve for x
    x = 5,316,401.04/2,464.72
  6. Step 6: Final answer
    x = 2,157

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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.