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Finding the Fourth Proportional to 1,549.94, 2,138.67 and 990.90

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Solution

The fourth proportional to 1,549.94, 2,138.67 and 990.90 is: 1,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.94 : 2,138.67 = 990.90 : x
  2. Step 2: Convert to fraction form
    1,549.94/2,138.67 = 990.90/x
  3. Step 3: Cross multiply
    1,549.94x = 2,138.67 × 990.90
  4. Step 4: Simplify right side
    1,549.94x = 2,119,208.10
  5. Step 5: Solve for x
    x = 2,119,208.10/1,549.94
  6. Step 6: Final answer
    x = 1,367.29

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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.