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Finding the Fourth Proportional to 2,997.24, 4,495.32 and 916.74

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Solution

The fourth proportional to 2,997.24, 4,495.32 and 916.74 is: 1,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.24 : 4,495.32 = 916.74 : x
  2. Step 2: Convert to fraction form
    2,997.24/4,495.32 = 916.74/x
  3. Step 3: Cross multiply
    2,997.24x = 4,495.32 × 916.74
  4. Step 4: Simplify right side
    2,997.24x = 4,121,039.66
  5. Step 5: Solve for x
    x = 4,121,039.66/2,997.24
  6. Step 6: Final answer
    x = 1,374.94

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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.