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Finding the Fourth Proportional to 1,651.17, 2,477.68 and 677.95

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Solution

The fourth proportional to 1,651.17, 2,477.68 and 677.95 is: 1,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.17 : 2,477.68 = 677.95 : x
  2. Step 2: Convert to fraction form
    1,651.17/2,477.68 = 677.95/x
  3. Step 3: Cross multiply
    1,651.17x = 2,477.68 × 677.95
  4. Step 4: Simplify right side
    1,651.17x = 1,679,743.16
  5. Step 5: Solve for x
    x = 1,679,743.16/1,651.17
  6. Step 6: Final answer
    x = 1,017.30

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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.