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Finding the Fourth Proportional to 2,168.61, 2,994.14 and 1,423.83

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Solution

The fourth proportional to 2,168.61, 2,994.14 and 1,423.83 is: 1,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.61 : 2,994.14 = 1,423.83 : x
  2. Step 2: Convert to fraction form
    2,168.61/2,994.14 = 1,423.83/x
  3. Step 3: Cross multiply
    2,168.61x = 2,994.14 × 1,423.83
  4. Step 4: Simplify right side
    2,168.61x = 4,263,146.36
  5. Step 5: Solve for x
    x = 4,263,146.36/2,168.61
  6. Step 6: Final answer
    x = 1,965.84

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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.