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Finding the Fourth Proportional to 2,137.78, 3,206.89 and 577.79

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Solution

The fourth proportional to 2,137.78, 3,206.89 and 577.79 is: 866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.78 : 3,206.89 = 577.79 : x
  2. Step 2: Convert to fraction form
    2,137.78/3,206.89 = 577.79/x
  3. Step 3: Cross multiply
    2,137.78x = 3,206.89 × 577.79
  4. Step 4: Simplify right side
    2,137.78x = 1,852,916.99
  5. Step 5: Solve for x
    x = 1,852,916.99/2,137.78
  6. Step 6: Final answer
    x = 866.75

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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.