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Finding the Fourth Proportional to 3,071.87, 4,607.76 and 2,031.64

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Solution

The fourth proportional to 3,071.87, 4,607.76 and 2,031.64 is: 3,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.87 : 4,607.76 = 2,031.64 : x
  2. Step 2: Convert to fraction form
    3,071.87/4,607.76 = 2,031.64/x
  3. Step 3: Cross multiply
    3,071.87x = 4,607.76 × 2,031.64
  4. Step 4: Simplify right side
    3,071.87x = 9,361,305.63
  5. Step 5: Solve for x
    x = 9,361,305.63/3,071.87
  6. Step 6: Final answer
    x = 3,047.43

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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.