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Finding the Fourth Proportional to 3,059.40, 4,221.64 and 1,733.20

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Solution

The fourth proportional to 3,059.40, 4,221.64 and 1,733.20 is: 2,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.40 : 4,221.64 = 1,733.20 : x
  2. Step 2: Convert to fraction form
    3,059.40/4,221.64 = 1,733.20/x
  3. Step 3: Cross multiply
    3,059.40x = 4,221.64 × 1,733.20
  4. Step 4: Simplify right side
    3,059.40x = 7,316,946.45
  5. Step 5: Solve for x
    x = 7,316,946.45/3,059.40
  6. Step 6: Final answer
    x = 2,391.63

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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.