Home / 2,213.84-3,321.60-916.40

Finding the Fourth Proportional to 2,213.84, 3,321.60 and 916.40

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Solution

The fourth proportional to 2,213.84, 3,321.60 and 916.40 is: 1,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.84 : 3,321.60 = 916.40 : x
  2. Step 2: Convert to fraction form
    2,213.84/3,321.60 = 916.40/x
  3. Step 3: Cross multiply
    2,213.84x = 3,321.60 × 916.40
  4. Step 4: Simplify right side
    2,213.84x = 3,043,914.24
  5. Step 5: Solve for x
    x = 3,043,914.24/2,213.84
  6. Step 6: Final answer
    x = 1,374.95

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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.