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Finding the Fourth Proportional to 2,846.25, 4,269.38 and 898.52

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Solution

The fourth proportional to 2,846.25, 4,269.38 and 898.52 is: 1,347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.25 : 4,269.38 = 898.52 : x
  2. Step 2: Convert to fraction form
    2,846.25/4,269.38 = 898.52/x
  3. Step 3: Cross multiply
    2,846.25x = 4,269.38 × 898.52
  4. Step 4: Simplify right side
    2,846.25x = 3,836,097.48
  5. Step 5: Solve for x
    x = 3,836,097.48/2,846.25
  6. Step 6: Final answer
    x = 1,347.77

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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.