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Finding the Fourth Proportional to 3,071.31, 4,607.26 and 990.82

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Solution

The fourth proportional to 3,071.31, 4,607.26 and 990.82 is: 1,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.31 : 4,607.26 = 990.82 : x
  2. Step 2: Convert to fraction form
    3,071.31/4,607.26 = 990.82/x
  3. Step 3: Cross multiply
    3,071.31x = 4,607.26 × 990.82
  4. Step 4: Simplify right side
    3,071.31x = 4,564,965.35
  5. Step 5: Solve for x
    x = 4,564,965.35/3,071.31
  6. Step 6: Final answer
    x = 1,486.33

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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.