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Finding the Fourth Proportional to 2,808.93, 4,212.86 and 1,053.86

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Solution

The fourth proportional to 2,808.93, 4,212.86 and 1,053.86 is: 1,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.93 : 4,212.86 = 1,053.86 : x
  2. Step 2: Convert to fraction form
    2,808.93/4,212.86 = 1,053.86/x
  3. Step 3: Cross multiply
    2,808.93x = 4,212.86 × 1,053.86
  4. Step 4: Simplify right side
    2,808.93x = 4,439,767.93
  5. Step 5: Solve for x
    x = 4,439,767.93/2,808.93
  6. Step 6: Final answer
    x = 1,580.59

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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.