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Finding the Fourth Proportional to 2,170.12, 2,994.06 and 1,384.42

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Solution

The fourth proportional to 2,170.12, 2,994.06 and 1,384.42 is: 1,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.12 : 2,994.06 = 1,384.42 : x
  2. Step 2: Convert to fraction form
    2,170.12/2,994.06 = 1,384.42/x
  3. Step 3: Cross multiply
    2,170.12x = 2,994.06 × 1,384.42
  4. Step 4: Simplify right side
    2,170.12x = 4,145,036.55
  5. Step 5: Solve for x
    x = 4,145,036.55/2,170.12
  6. Step 6: Final answer
    x = 1,910.05

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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.