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Finding the Fourth Proportional to 2,823.96, 3,897.19 and 1,705.18

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Solution

The fourth proportional to 2,823.96, 3,897.19 and 1,705.18 is: 2,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.96 : 3,897.19 = 1,705.18 : x
  2. Step 2: Convert to fraction form
    2,823.96/3,897.19 = 1,705.18/x
  3. Step 3: Cross multiply
    2,823.96x = 3,897.19 × 1,705.18
  4. Step 4: Simplify right side
    2,823.96x = 6,645,394.38
  5. Step 5: Solve for x
    x = 6,645,394.38/2,823.96
  6. Step 6: Final answer
    x = 2,353.22

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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.