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Finding the Fourth Proportional to 2,141.88, 2,953.98 and 1,645.74

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Solution

The fourth proportional to 2,141.88, 2,953.98 and 1,645.74 is: 2,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.88 : 2,953.98 = 1,645.74 : x
  2. Step 2: Convert to fraction form
    2,141.88/2,953.98 = 1,645.74/x
  3. Step 3: Cross multiply
    2,141.88x = 2,953.98 × 1,645.74
  4. Step 4: Simplify right side
    2,141.88x = 4,861,483.05
  5. Step 5: Solve for x
    x = 4,861,483.05/2,141.88
  6. Step 6: Final answer
    x = 2,269.73

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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.