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Finding the Fourth Proportional to 2,842, 4,263.05 and 1,380.79

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Solution

The fourth proportional to 2,842, 4,263.05 and 1,380.79 is: 2,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842 : 4,263.05 = 1,380.79 : x
  2. Step 2: Convert to fraction form
    2,842/4,263.05 = 1,380.79/x
  3. Step 3: Cross multiply
    2,842x = 4,263.05 × 1,380.79
  4. Step 4: Simplify right side
    2,842x = 5,886,376.81
  5. Step 5: Solve for x
    x = 5,886,376.81/2,842
  6. Step 6: Final answer
    x = 2,071.21

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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.