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Finding the Fourth Proportional to 2,059.63, 2,842.26 and 1,115.40

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Solution

The fourth proportional to 2,059.63, 2,842.26 and 1,115.40 is: 1,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.63 : 2,842.26 = 1,115.40 : x
  2. Step 2: Convert to fraction form
    2,059.63/2,842.26 = 1,115.40/x
  3. Step 3: Cross multiply
    2,059.63x = 2,842.26 × 1,115.40
  4. Step 4: Simplify right side
    2,059.63x = 3,170,256.80
  5. Step 5: Solve for x
    x = 3,170,256.80/2,059.63
  6. Step 6: Final answer
    x = 1,539.24

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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.