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Finding the Fourth Proportional to 2,498.09, 3,746.49 and 938.03

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Solution

The fourth proportional to 2,498.09, 3,746.49 and 938.03 is: 1,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.09 : 3,746.49 = 938.03 : x
  2. Step 2: Convert to fraction form
    2,498.09/3,746.49 = 938.03/x
  3. Step 3: Cross multiply
    2,498.09x = 3,746.49 × 938.03
  4. Step 4: Simplify right side
    2,498.09x = 3,514,320.01
  5. Step 5: Solve for x
    x = 3,514,320.01/2,498.09
  6. Step 6: Final answer
    x = 1,406.80

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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.