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Finding the Fourth Proportional to 2,156.69, 2,977.44 and 1,411.41

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Solution

The fourth proportional to 2,156.69, 2,977.44 and 1,411.41 is: 1,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.69 : 2,977.44 = 1,411.41 : x
  2. Step 2: Convert to fraction form
    2,156.69/2,977.44 = 1,411.41/x
  3. Step 3: Cross multiply
    2,156.69x = 2,977.44 × 1,411.41
  4. Step 4: Simplify right side
    2,156.69x = 4,202,388.59
  5. Step 5: Solve for x
    x = 4,202,388.59/2,156.69
  6. Step 6: Final answer
    x = 1,948.54

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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.