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Finding the Fourth Proportional to 2,996.40, 4,494.24 and 916.32

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Solution

The fourth proportional to 2,996.40, 4,494.24 and 916.32 is: 1,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.40 : 4,494.24 = 916.32 : x
  2. Step 2: Convert to fraction form
    2,996.40/4,494.24 = 916.32/x
  3. Step 3: Cross multiply
    2,996.40x = 4,494.24 × 916.32
  4. Step 4: Simplify right side
    2,996.40x = 4,118,162.00
  5. Step 5: Solve for x
    x = 4,118,162.00/2,996.40
  6. Step 6: Final answer
    x = 1,374.37

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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.