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Finding the Fourth Proportional to 2,817.64, 3,888.33 and 1,575.64

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Solution

The fourth proportional to 2,817.64, 3,888.33 and 1,575.64 is: 2,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.64 : 3,888.33 = 1,575.64 : x
  2. Step 2: Convert to fraction form
    2,817.64/3,888.33 = 1,575.64/x
  3. Step 3: Cross multiply
    2,817.64x = 3,888.33 × 1,575.64
  4. Step 4: Simplify right side
    2,817.64x = 6,126,608.28
  5. Step 5: Solve for x
    x = 6,126,608.28/2,817.64
  6. Step 6: Final answer
    x = 2,174.38

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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.