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Finding the Fourth Proportional to 2,996.04, 4,494.60 and 916.22

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Solution

The fourth proportional to 2,996.04, 4,494.60 and 916.22 is: 1,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.04 : 4,494.60 = 916.22 : x
  2. Step 2: Convert to fraction form
    2,996.04/4,494.60 = 916.22/x
  3. Step 3: Cross multiply
    2,996.04x = 4,494.60 × 916.22
  4. Step 4: Simplify right side
    2,996.04x = 4,118,042.41
  5. Step 5: Solve for x
    x = 4,118,042.41/2,996.04
  6. Step 6: Final answer
    x = 1,374.50

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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.