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Finding the Fourth Proportional to 3,059.23, 4,221.74 and 1,733.02

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Solution

The fourth proportional to 3,059.23, 4,221.74 and 1,733.02 is: 2,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.23 : 4,221.74 = 1,733.02 : x
  2. Step 2: Convert to fraction form
    3,059.23/4,221.74 = 1,733.02/x
  3. Step 3: Cross multiply
    3,059.23x = 4,221.74 × 1,733.02
  4. Step 4: Simplify right side
    3,059.23x = 7,316,355.76
  5. Step 5: Solve for x
    x = 7,316,355.76/3,059.23
  6. Step 6: Final answer
    x = 2,391.57

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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.