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Finding the Fourth Proportional to 2,897.00, 3,994.85 and 2,478.74

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Solution

The fourth proportional to 2,897.00, 3,994.85 and 2,478.74 is: 3,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.00 : 3,994.85 = 2,478.74 : x
  2. Step 2: Convert to fraction form
    2,897.00/3,994.85 = 2,478.74/x
  3. Step 3: Cross multiply
    2,897.00x = 3,994.85 × 2,478.74
  4. Step 4: Simplify right side
    2,897.00x = 9,902,162.12
  5. Step 5: Solve for x
    x = 9,902,162.12/2,897.00
  6. Step 6: Final answer
    x = 3,418.08

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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.