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Finding the Fourth Proportional to 2,499.10, 3,746.00 and 938.09

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Solution

The fourth proportional to 2,499.10, 3,746.00 and 938.09 is: 1,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.10 : 3,746.00 = 938.09 : x
  2. Step 2: Convert to fraction form
    2,499.10/3,746.00 = 938.09/x
  3. Step 3: Cross multiply
    2,499.10x = 3,746.00 × 938.09
  4. Step 4: Simplify right side
    2,499.10x = 3,514,096.85
  5. Step 5: Solve for x
    x = 3,514,096.85/2,499.10
  6. Step 6: Final answer
    x = 1,406.15

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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.