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Finding the Fourth Proportional to 2,462.08, 3,696.76 and 1,004.08

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Solution

The fourth proportional to 2,462.08, 3,696.76 and 1,004.08 is: 1,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.08 : 3,696.76 = 1,004.08 : x
  2. Step 2: Convert to fraction form
    2,462.08/3,696.76 = 1,004.08/x
  3. Step 3: Cross multiply
    2,462.08x = 3,696.76 × 1,004.08
  4. Step 4: Simplify right side
    2,462.08x = 3,711,842.78
  5. Step 5: Solve for x
    x = 3,711,842.78/2,462.08
  6. Step 6: Final answer
    x = 1,507.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.