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Finding the Fourth Proportional to 2,542.95, 3,814.74 and 899.10

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Solution

The fourth proportional to 2,542.95, 3,814.74 and 899.10 is: 1,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.95 : 3,814.74 = 899.10 : x
  2. Step 2: Convert to fraction form
    2,542.95/3,814.74 = 899.10/x
  3. Step 3: Cross multiply
    2,542.95x = 3,814.74 × 899.10
  4. Step 4: Simplify right side
    2,542.95x = 3,429,832.73
  5. Step 5: Solve for x
    x = 3,429,832.73/2,542.95
  6. Step 6: Final answer
    x = 1,348.76

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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.