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Finding the Fourth Proportional to 2,107.01, 2,902.03 and 1,827.26

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Solution

The fourth proportional to 2,107.01, 2,902.03 and 1,827.26 is: 2,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.01 : 2,902.03 = 1,827.26 : x
  2. Step 2: Convert to fraction form
    2,107.01/2,902.03 = 1,827.26/x
  3. Step 3: Cross multiply
    2,107.01x = 2,902.03 × 1,827.26
  4. Step 4: Simplify right side
    2,107.01x = 5,302,755.14
  5. Step 5: Solve for x
    x = 5,302,755.14/2,107.01
  6. Step 6: Final answer
    x = 2,516.72

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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.