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Finding the Fourth Proportional to 2,814.60, 4,221.11 and 1,059.47

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Solution

The fourth proportional to 2,814.60, 4,221.11 and 1,059.47 is: 1,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.60 : 4,221.11 = 1,059.47 : x
  2. Step 2: Convert to fraction form
    2,814.60/4,221.11 = 1,059.47/x
  3. Step 3: Cross multiply
    2,814.60x = 4,221.11 × 1,059.47
  4. Step 4: Simplify right side
    2,814.60x = 4,472,113.01
  5. Step 5: Solve for x
    x = 4,472,113.01/2,814.60
  6. Step 6: Final answer
    x = 1,588.90

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