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Finding the Fourth Proportional to 2,534.01, 3,801.00 and 685.12

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Solution

The fourth proportional to 2,534.01, 3,801.00 and 685.12 is: 1,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.01 : 3,801.00 = 685.12 : x
  2. Step 2: Convert to fraction form
    2,534.01/3,801.00 = 685.12/x
  3. Step 3: Cross multiply
    2,534.01x = 3,801.00 × 685.12
  4. Step 4: Simplify right side
    2,534.01x = 2,604,128.70
  5. Step 5: Solve for x
    x = 2,604,128.70/2,534.01
  6. Step 6: Final answer
    x = 1,027.67

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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.