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Finding the Fourth Proportional to 2,800.16, 3,862.86 and 2,174.84

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Solution

The fourth proportional to 2,800.16, 3,862.86 and 2,174.84 is: 3,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.16 : 3,862.86 = 2,174.84 : x
  2. Step 2: Convert to fraction form
    2,800.16/3,862.86 = 2,174.84/x
  3. Step 3: Cross multiply
    2,800.16x = 3,862.86 × 2,174.84
  4. Step 4: Simplify right side
    2,800.16x = 8,401,102.44
  5. Step 5: Solve for x
    x = 8,401,102.44/2,800.16
  6. Step 6: Final answer
    x = 3,000.22

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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.