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Finding the Fourth Proportional to 3,224.52, 4,836.82 and 916.02

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Solution

The fourth proportional to 3,224.52, 4,836.82 and 916.02 is: 1,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.52 : 4,836.82 = 916.02 : x
  2. Step 2: Convert to fraction form
    3,224.52/4,836.82 = 916.02/x
  3. Step 3: Cross multiply
    3,224.52x = 4,836.82 × 916.02
  4. Step 4: Simplify right side
    3,224.52x = 4,430,623.86
  5. Step 5: Solve for x
    x = 4,430,623.86/3,224.52
  6. Step 6: Final answer
    x = 1,374.04

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1.5x scale

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.