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Finding the Fourth Proportional to 2,064.28, 3,095.86 and 583.42

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Solution

The fourth proportional to 2,064.28, 3,095.86 and 583.42 is: 874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.28 : 3,095.86 = 583.42 : x
  2. Step 2: Convert to fraction form
    2,064.28/3,095.86 = 583.42/x
  3. Step 3: Cross multiply
    2,064.28x = 3,095.86 × 583.42
  4. Step 4: Simplify right side
    2,064.28x = 1,806,186.64
  5. Step 5: Solve for x
    x = 1,806,186.64/2,064.28
  6. Step 6: Final answer
    x = 874.97

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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.