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Finding the Fourth Proportional to 2,466.07, 3,700.09 and 1,004.88

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Solution

The fourth proportional to 2,466.07, 3,700.09 and 1,004.88 is: 1,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.07 : 3,700.09 = 1,004.88 : x
  2. Step 2: Convert to fraction form
    2,466.07/3,700.09 = 1,004.88/x
  3. Step 3: Cross multiply
    2,466.07x = 3,700.09 × 1,004.88
  4. Step 4: Simplify right side
    2,466.07x = 3,718,146.44
  5. Step 5: Solve for x
    x = 3,718,146.44/2,466.07
  6. Step 6: Final answer
    x = 1,507.72

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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.