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Finding the Fourth Proportional to 2,946.64, 4,065.20 and 1,687.02

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Solution

The fourth proportional to 2,946.64, 4,065.20 and 1,687.02 is: 2,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.64 : 4,065.20 = 1,687.02 : x
  2. Step 2: Convert to fraction form
    2,946.64/4,065.20 = 1,687.02/x
  3. Step 3: Cross multiply
    2,946.64x = 4,065.20 × 1,687.02
  4. Step 4: Simplify right side
    2,946.64x = 6,858,073.70
  5. Step 5: Solve for x
    x = 6,858,073.70/2,946.64
  6. Step 6: Final answer
    x = 2,327.42

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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.