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Finding the Fourth Proportional to 1,651.87, 2,477.26 and 774.10

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Solution

The fourth proportional to 1,651.87, 2,477.26 and 774.10 is: 1,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.87 : 2,477.26 = 774.10 : x
  2. Step 2: Convert to fraction form
    1,651.87/2,477.26 = 774.10/x
  3. Step 3: Cross multiply
    1,651.87x = 2,477.26 × 774.10
  4. Step 4: Simplify right side
    1,651.87x = 1,917,646.97
  5. Step 5: Solve for x
    x = 1,917,646.97/1,651.87
  6. Step 6: Final answer
    x = 1,160.89

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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.