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Finding the Fourth Proportional to 3,059.72, 4,222.34 and 1,800.50

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Solution

The fourth proportional to 3,059.72, 4,222.34 and 1,800.50 is: 2,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.72 : 4,222.34 = 1,800.50 : x
  2. Step 2: Convert to fraction form
    3,059.72/4,222.34 = 1,800.50/x
  3. Step 3: Cross multiply
    3,059.72x = 4,222.34 × 1,800.50
  4. Step 4: Simplify right side
    3,059.72x = 7,602,338.23
  5. Step 5: Solve for x
    x = 7,602,338.23/3,059.72
  6. Step 6: Final answer
    x = 2,484.65

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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.