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Finding the Fourth Proportional to 1,549.50, 2,138.45 and 851.01

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Solution

The fourth proportional to 1,549.50, 2,138.45 and 851.01 is: 1,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.50 : 2,138.45 = 851.01 : x
  2. Step 2: Convert to fraction form
    1,549.50/2,138.45 = 851.01/x
  3. Step 3: Cross multiply
    1,549.50x = 2,138.45 × 851.01
  4. Step 4: Simplify right side
    1,549.50x = 1,819,838.08
  5. Step 5: Solve for x
    x = 1,819,838.08/1,549.50
  6. Step 6: Final answer
    x = 1,174.47

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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.