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Finding the Fourth Proportional to 1,651.21, 2,278.61 and 988.43

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Solution

The fourth proportional to 1,651.21, 2,278.61 and 988.43 is: 1,364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.21 : 2,278.61 = 988.43 : x
  2. Step 2: Convert to fraction form
    1,651.21/2,278.61 = 988.43/x
  3. Step 3: Cross multiply
    1,651.21x = 2,278.61 × 988.43
  4. Step 4: Simplify right side
    1,651.21x = 2,252,246.48
  5. Step 5: Solve for x
    x = 2,252,246.48/1,651.21
  6. Step 6: Final answer
    x = 1,364.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.