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Finding the Fourth Proportional to 3,003, 4,144.14 and 1,823.86

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Solution

The fourth proportional to 3,003, 4,144.14 and 1,823.86 is: 2,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003 : 4,144.14 = 1,823.86 : x
  2. Step 2: Convert to fraction form
    3,003/4,144.14 = 1,823.86/x
  3. Step 3: Cross multiply
    3,003x = 4,144.14 × 1,823.86
  4. Step 4: Simplify right side
    3,003x = 7,558,331.18
  5. Step 5: Solve for x
    x = 7,558,331.18/3,003
  6. Step 6: Final answer
    x = 2,516.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.