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Finding the Fourth Proportional to 2,380.99, 3,572.06 and 993.56

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Solution

The fourth proportional to 2,380.99, 3,572.06 and 993.56 is: 1,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.99 : 3,572.06 = 993.56 : x
  2. Step 2: Convert to fraction form
    2,380.99/3,572.06 = 993.56/x
  3. Step 3: Cross multiply
    2,380.99x = 3,572.06 × 993.56
  4. Step 4: Simplify right side
    2,380.99x = 3,549,039.25
  5. Step 5: Solve for x
    x = 3,549,039.25/2,380.99
  6. Step 6: Final answer
    x = 1,490.57

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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.