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Finding the Fourth Proportional to 3,071.71, 4,606.35 and 1,774.09

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Solution

The fourth proportional to 3,071.71, 4,606.35 and 1,774.09 is: 2,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.71 : 4,606.35 = 1,774.09 : x
  2. Step 2: Convert to fraction form
    3,071.71/4,606.35 = 1,774.09/x
  3. Step 3: Cross multiply
    3,071.71x = 4,606.35 × 1,774.09
  4. Step 4: Simplify right side
    3,071.71x = 8,172,079.47
  5. Step 5: Solve for x
    x = 8,172,079.47/3,071.71
  6. Step 6: Final answer
    x = 2,660.43

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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.