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Finding the Fourth Proportional to 2,841.86, 4,263.40 and 1,609.86

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Solution

The fourth proportional to 2,841.86, 4,263.40 and 1,609.86 is: 2,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.86 : 4,263.40 = 1,609.86 : x
  2. Step 2: Convert to fraction form
    2,841.86/4,263.40 = 1,609.86/x
  3. Step 3: Cross multiply
    2,841.86x = 4,263.40 × 1,609.86
  4. Step 4: Simplify right side
    2,841.86x = 6,863,477.12
  5. Step 5: Solve for x
    x = 6,863,477.12/2,841.86
  6. Step 6: Final answer
    x = 2,415.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.