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Finding the Fourth Proportional to 2,464.72, 3,699 and 1,004.88

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Solution

The fourth proportional to 2,464.72, 3,699 and 1,004.88 is: 1,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.72 : 3,699 = 1,004.88 : x
  2. Step 2: Convert to fraction form
    2,464.72/3,699 = 1,004.88/x
  3. Step 3: Cross multiply
    2,464.72x = 3,699 × 1,004.88
  4. Step 4: Simplify right side
    2,464.72x = 3,717,051.12
  5. Step 5: Solve for x
    x = 3,717,051.12/2,464.72
  6. Step 6: Final answer
    x = 1,508.10

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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.