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Finding the Fourth Proportional to 2,078.34, 2,869.07 and 1,793.63

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Solution

The fourth proportional to 2,078.34, 2,869.07 and 1,793.63 is: 2,476.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.34 : 2,869.07 = 1,793.63 : x
  2. Step 2: Convert to fraction form
    2,078.34/2,869.07 = 1,793.63/x
  3. Step 3: Cross multiply
    2,078.34x = 2,869.07 × 1,793.63
  4. Step 4: Simplify right side
    2,078.34x = 5,146,026.71
  5. Step 5: Solve for x
    x = 5,146,026.71/2,078.34
  6. Step 6: Final answer
    x = 2,476.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.