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Finding the Fourth Proportional to 2,953.66, 4,423.20 and 2,171.80

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Solution

The fourth proportional to 2,953.66, 4,423.20 and 2,171.80 is: 3,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.66 : 4,423.20 = 2,171.80 : x
  2. Step 2: Convert to fraction form
    2,953.66/4,423.20 = 2,171.80/x
  3. Step 3: Cross multiply
    2,953.66x = 4,423.20 × 2,171.80
  4. Step 4: Simplify right side
    2,953.66x = 9,606,305.76
  5. Step 5: Solve for x
    x = 9,606,305.76/2,953.66
  6. Step 6: Final answer
    x = 3,252.34

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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.