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Finding the Fourth Proportional to 2,156.02, 2,974.14 and 1,780.81

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Solution

The fourth proportional to 2,156.02, 2,974.14 and 1,780.81 is: 2,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.02 : 2,974.14 = 1,780.81 : x
  2. Step 2: Convert to fraction form
    2,156.02/2,974.14 = 1,780.81/x
  3. Step 3: Cross multiply
    2,156.02x = 2,974.14 × 1,780.81
  4. Step 4: Simplify right side
    2,156.02x = 5,296,378.25
  5. Step 5: Solve for x
    x = 5,296,378.25/2,156.02
  6. Step 6: Final answer
    x = 2,456.55

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