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Finding the Fourth Proportional to 1,392.46, 1,917.21 and 1,059.82

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Solution

The fourth proportional to 1,392.46, 1,917.21 and 1,059.82 is: 1,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.46 : 1,917.21 = 1,059.82 : x
  2. Step 2: Convert to fraction form
    1,392.46/1,917.21 = 1,059.82/x
  3. Step 3: Cross multiply
    1,392.46x = 1,917.21 × 1,059.82
  4. Step 4: Simplify right side
    1,392.46x = 2,031,897.50
  5. Step 5: Solve for x
    x = 2,031,897.50/1,392.46
  6. Step 6: Final answer
    x = 1,459.21

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