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Finding the Fourth Proportional to 2,008.10, 3,012.65 and 837.71

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Solution

The fourth proportional to 2,008.10, 3,012.65 and 837.71 is: 1,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.10 : 3,012.65 = 837.71 : x
  2. Step 2: Convert to fraction form
    2,008.10/3,012.65 = 837.71/x
  3. Step 3: Cross multiply
    2,008.10x = 3,012.65 × 837.71
  4. Step 4: Simplify right side
    2,008.10x = 2,523,707.78
  5. Step 5: Solve for x
    x = 2,523,707.78/2,008.10
  6. Step 6: Final answer
    x = 1,256.77

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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.