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Finding the Fourth Proportional to 2,165.73, 2,988.71 and 1,171.01

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Solution

The fourth proportional to 2,165.73, 2,988.71 and 1,171.01 is: 1,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.73 : 2,988.71 = 1,171.01 : x
  2. Step 2: Convert to fraction form
    2,165.73/2,988.71 = 1,171.01/x
  3. Step 3: Cross multiply
    2,165.73x = 2,988.71 × 1,171.01
  4. Step 4: Simplify right side
    2,165.73x = 3,499,788.50
  5. Step 5: Solve for x
    x = 3,499,788.50/2,165.73
  6. Step 6: Final answer
    x = 1,615.99

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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.