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Finding the Fourth Proportional to 2,935.95, 4,051.62 and 1,609.71

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Solution

The fourth proportional to 2,935.95, 4,051.62 and 1,609.71 is: 2,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.95 : 4,051.62 = 1,609.71 : x
  2. Step 2: Convert to fraction form
    2,935.95/4,051.62 = 1,609.71/x
  3. Step 3: Cross multiply
    2,935.95x = 4,051.62 × 1,609.71
  4. Step 4: Simplify right side
    2,935.95x = 6,521,933.23
  5. Step 5: Solve for x
    x = 6,521,933.23/2,935.95
  6. Step 6: Final answer
    x = 2,221.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.