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Finding the Fourth Proportional to 3,059.69, 4,222.40 and 1,880.78

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Solution

The fourth proportional to 3,059.69, 4,222.40 and 1,880.78 is: 2,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.69 : 4,222.40 = 1,880.78 : x
  2. Step 2: Convert to fraction form
    3,059.69/4,222.40 = 1,880.78/x
  3. Step 3: Cross multiply
    3,059.69x = 4,222.40 × 1,880.78
  4. Step 4: Simplify right side
    3,059.69x = 7,941,374.96
  5. Step 5: Solve for x
    x = 7,941,374.96/3,059.69
  6. Step 6: Final answer
    x = 2,595.49

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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.