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Finding the Fourth Proportional to 2,542.46, 3,815.38 and 899

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Solution

The fourth proportional to 2,542.46, 3,815.38 and 899 is: 1,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.46 : 3,815.38 = 899 : x
  2. Step 2: Convert to fraction form
    2,542.46/3,815.38 = 899/x
  3. Step 3: Cross multiply
    2,542.46x = 3,815.38 × 899
  4. Step 4: Simplify right side
    2,542.46x = 3,430,026.62
  5. Step 5: Solve for x
    x = 3,430,026.62/2,542.46
  6. Step 6: Final answer
    x = 1,349.10

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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.