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Finding the Fourth Proportional to 2,935.85, 4,051.42 and 1,609.67

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Solution

The fourth proportional to 2,935.85, 4,051.42 and 1,609.67 is: 2,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.85 : 4,051.42 = 1,609.67 : x
  2. Step 2: Convert to fraction form
    2,935.85/4,051.42 = 1,609.67/x
  3. Step 3: Cross multiply
    2,935.85x = 4,051.42 × 1,609.67
  4. Step 4: Simplify right side
    2,935.85x = 6,521,455.34
  5. Step 5: Solve for x
    x = 6,521,455.34/2,935.85
  6. Step 6: Final answer
    x = 2,221.32

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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.