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Finding the Fourth Proportional to 2,542.54, 3,813.70 and 899.10

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Solution

The fourth proportional to 2,542.54, 3,813.70 and 899.10 is: 1,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.54 : 3,813.70 = 899.10 : x
  2. Step 2: Convert to fraction form
    2,542.54/3,813.70 = 899.10/x
  3. Step 3: Cross multiply
    2,542.54x = 3,813.70 × 899.10
  4. Step 4: Simplify right side
    2,542.54x = 3,428,897.67
  5. Step 5: Solve for x
    x = 3,428,897.67/2,542.54
  6. Step 6: Final answer
    x = 1,348.61

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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.