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Finding the Fourth Proportional to 2,909.60, 4,363.04 and 1,059.44

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Solution

The fourth proportional to 2,909.60, 4,363.04 and 1,059.44 is: 1,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.60 : 4,363.04 = 1,059.44 : x
  2. Step 2: Convert to fraction form
    2,909.60/4,363.04 = 1,059.44/x
  3. Step 3: Cross multiply
    2,909.60x = 4,363.04 × 1,059.44
  4. Step 4: Simplify right side
    2,909.60x = 4,622,379.10
  5. Step 5: Solve for x
    x = 4,622,379.10/2,909.60
  6. Step 6: Final answer
    x = 1,588.66

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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.