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Finding the Fourth Proportional to 2,541.92, 3,813.24 and 897.92

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Solution

The fourth proportional to 2,541.92, 3,813.24 and 897.92 is: 1,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.92 : 3,813.24 = 897.92 : x
  2. Step 2: Convert to fraction form
    2,541.92/3,813.24 = 897.92/x
  3. Step 3: Cross multiply
    2,541.92x = 3,813.24 × 897.92
  4. Step 4: Simplify right side
    2,541.92x = 3,423,984.46
  5. Step 5: Solve for x
    x = 3,423,984.46/2,541.92
  6. Step 6: Final answer
    x = 1,347.01

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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.