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Finding the Fourth Proportional to 2,170.40, 2,994.98 and 1,274.05

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Solution

The fourth proportional to 2,170.40, 2,994.98 and 1,274.05 is: 1,758.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.40 : 2,994.98 = 1,274.05 : x
  2. Step 2: Convert to fraction form
    2,170.40/2,994.98 = 1,274.05/x
  3. Step 3: Cross multiply
    2,170.40x = 2,994.98 × 1,274.05
  4. Step 4: Simplify right side
    2,170.40x = 3,815,732.92
  5. Step 5: Solve for x
    x = 3,815,732.92/2,170.40
  6. Step 6: Final answer
    x = 1,758.08

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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.