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Finding the Fourth Proportional to 2,996.67, 4,493.65 and 916.93

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Solution

The fourth proportional to 2,996.67, 4,493.65 and 916.93 is: 1,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.67 : 4,493.65 = 916.93 : x
  2. Step 2: Convert to fraction form
    2,996.67/4,493.65 = 916.93/x
  3. Step 3: Cross multiply
    2,996.67x = 4,493.65 × 916.93
  4. Step 4: Simplify right side
    2,996.67x = 4,120,362.49
  5. Step 5: Solve for x
    x = 4,120,362.49/2,996.67
  6. Step 6: Final answer
    x = 1,374.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.