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Finding the Fourth Proportional to 2,935.68, 4,051.24 and 1,609.40

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Solution

The fourth proportional to 2,935.68, 4,051.24 and 1,609.40 is: 2,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.68 : 4,051.24 = 1,609.40 : x
  2. Step 2: Convert to fraction form
    2,935.68/4,051.24 = 1,609.40/x
  3. Step 3: Cross multiply
    2,935.68x = 4,051.24 × 1,609.40
  4. Step 4: Simplify right side
    2,935.68x = 6,520,065.66
  5. Step 5: Solve for x
    x = 6,520,065.66/2,935.68
  6. Step 6: Final answer
    x = 2,220.97

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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.