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Finding the Fourth Proportional to 2,701.54, 4,054.61 and 1,059.23

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Solution

The fourth proportional to 2,701.54, 4,054.61 and 1,059.23 is: 1,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.54 : 4,054.61 = 1,059.23 : x
  2. Step 2: Convert to fraction form
    2,701.54/4,054.61 = 1,059.23/x
  3. Step 3: Cross multiply
    2,701.54x = 4,054.61 × 1,059.23
  4. Step 4: Simplify right side
    2,701.54x = 4,294,748.57
  5. Step 5: Solve for x
    x = 4,294,748.57/2,701.54
  6. Step 6: Final answer
    x = 1,589.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.