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Finding the Fourth Proportional to 2,173.50, 2,989.11 and 1,726.14

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Solution

The fourth proportional to 2,173.50, 2,989.11 and 1,726.14 is: 2,373.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.50 : 2,989.11 = 1,726.14 : x
  2. Step 2: Convert to fraction form
    2,173.50/2,989.11 = 1,726.14/x
  3. Step 3: Cross multiply
    2,173.50x = 2,989.11 × 1,726.14
  4. Step 4: Simplify right side
    2,173.50x = 5,159,622.34
  5. Step 5: Solve for x
    x = 5,159,622.34/2,173.50
  6. Step 6: Final answer
    x = 2,373.88

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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.