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Finding the Fourth Proportional to 2,156.40, 3,230.28 and 1,937.88

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Solution

The fourth proportional to 2,156.40, 3,230.28 and 1,937.88 is: 2,902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.40 : 3,230.28 = 1,937.88 : x
  2. Step 2: Convert to fraction form
    2,156.40/3,230.28 = 1,937.88/x
  3. Step 3: Cross multiply
    2,156.40x = 3,230.28 × 1,937.88
  4. Step 4: Simplify right side
    2,156.40x = 6,259,895.01
  5. Step 5: Solve for x
    x = 6,259,895.01/2,156.40
  6. Step 6: Final answer
    x = 2,902.94

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