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Finding the Fourth Proportional to 3,071.07, 4,606.62 and 991.23

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Solution

The fourth proportional to 3,071.07, 4,606.62 and 991.23 is: 1,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.07 : 4,606.62 = 991.23 : x
  2. Step 2: Convert to fraction form
    3,071.07/4,606.62 = 991.23/x
  3. Step 3: Cross multiply
    3,071.07x = 4,606.62 × 991.23
  4. Step 4: Simplify right side
    3,071.07x = 4,566,219.94
  5. Step 5: Solve for x
    x = 4,566,219.94/3,071.07
  6. Step 6: Final answer
    x = 1,486.85

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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.