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Finding the Fourth Proportional to 1,677.87, 2,517.12 and 984.63

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Solution

The fourth proportional to 1,677.87, 2,517.12 and 984.63 is: 1,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.87 : 2,517.12 = 984.63 : x
  2. Step 2: Convert to fraction form
    1,677.87/2,517.12 = 984.63/x
  3. Step 3: Cross multiply
    1,677.87x = 2,517.12 × 984.63
  4. Step 4: Simplify right side
    1,677.87x = 2,478,431.87
  5. Step 5: Solve for x
    x = 2,478,431.87/1,677.87
  6. Step 6: Final answer
    x = 1,477.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.