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Finding the Fourth Proportional to 2,897.70, 3,994.34 and 2,427.18

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Solution

The fourth proportional to 2,897.70, 3,994.34 and 2,427.18 is: 3,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.70 : 3,994.34 = 2,427.18 : x
  2. Step 2: Convert to fraction form
    2,897.70/3,994.34 = 2,427.18/x
  3. Step 3: Cross multiply
    2,897.70x = 3,994.34 × 2,427.18
  4. Step 4: Simplify right side
    2,897.70x = 9,694,982.16
  5. Step 5: Solve for x
    x = 9,694,982.16/2,897.70
  6. Step 6: Final answer
    x = 3,345.75

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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.