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Finding the Fourth Proportional to 2,093.99, 3,140.90 and 845.12

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Solution

The fourth proportional to 2,093.99, 3,140.90 and 845.12 is: 1,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.99 : 3,140.90 = 845.12 : x
  2. Step 2: Convert to fraction form
    2,093.99/3,140.90 = 845.12/x
  3. Step 3: Cross multiply
    2,093.99x = 3,140.90 × 845.12
  4. Step 4: Simplify right side
    2,093.99x = 2,654,417.48
  5. Step 5: Solve for x
    x = 2,654,417.48/2,093.99
  6. Step 6: Final answer
    x = 1,267.64

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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.