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Finding the Fourth Proportional to 2,842.95, 3,923.22 and 1,584

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Solution

The fourth proportional to 2,842.95, 3,923.22 and 1,584 is: 2,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.95 : 3,923.22 = 1,584 : x
  2. Step 2: Convert to fraction form
    2,842.95/3,923.22 = 1,584/x
  3. Step 3: Cross multiply
    2,842.95x = 3,923.22 × 1,584
  4. Step 4: Simplify right side
    2,842.95x = 6,214,380.48
  5. Step 5: Solve for x
    x = 6,214,380.48/2,842.95
  6. Step 6: Final answer
    x = 2,185.89

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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.