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Finding the Fourth Proportional to 2,452.19, 3,677.87 and 808.76

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Solution

The fourth proportional to 2,452.19, 3,677.87 and 808.76 is: 1,213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.19 : 3,677.87 = 808.76 : x
  2. Step 2: Convert to fraction form
    2,452.19/3,677.87 = 808.76/x
  3. Step 3: Cross multiply
    2,452.19x = 3,677.87 × 808.76
  4. Step 4: Simplify right side
    2,452.19x = 2,974,497.77
  5. Step 5: Solve for x
    x = 2,974,497.77/2,452.19
  6. Step 6: Final answer
    x = 1,213.00

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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.