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Finding the Fourth Proportional to 2,833.98, 3,910.88 and 1,575.02

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Solution

The fourth proportional to 2,833.98, 3,910.88 and 1,575.02 is: 2,173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.98 : 3,910.88 = 1,575.02 : x
  2. Step 2: Convert to fraction form
    2,833.98/3,910.88 = 1,575.02/x
  3. Step 3: Cross multiply
    2,833.98x = 3,910.88 × 1,575.02
  4. Step 4: Simplify right side
    2,833.98x = 6,159,686.79
  5. Step 5: Solve for x
    x = 6,159,686.79/2,833.98
  6. Step 6: Final answer
    x = 2,173.51

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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.