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Finding the Fourth Proportional to 2,491.06, 3,736.36 and 930.32

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Solution

The fourth proportional to 2,491.06, 3,736.36 and 930.32 is: 1,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.06 : 3,736.36 = 930.32 : x
  2. Step 2: Convert to fraction form
    2,491.06/3,736.36 = 930.32/x
  3. Step 3: Cross multiply
    2,491.06x = 3,736.36 × 930.32
  4. Step 4: Simplify right side
    2,491.06x = 3,475,987.10
  5. Step 5: Solve for x
    x = 3,475,987.10/2,491.06
  6. Step 6: Final answer
    x = 1,395.39

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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.