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Finding the Fourth Proportional to 3,071.82, 4,607.58 and 1,123.88

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Solution

The fourth proportional to 3,071.82, 4,607.58 and 1,123.88 is: 1,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.82 : 4,607.58 = 1,123.88 : x
  2. Step 2: Convert to fraction form
    3,071.82/4,607.58 = 1,123.88/x
  3. Step 3: Cross multiply
    3,071.82x = 4,607.58 × 1,123.88
  4. Step 4: Simplify right side
    3,071.82x = 5,178,348.19
  5. Step 5: Solve for x
    x = 5,178,348.19/3,071.82
  6. Step 6: Final answer
    x = 1,685.76

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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.