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Finding the Fourth Proportional to 2,059.40, 2,842.38 and 1,396.47

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Solution

The fourth proportional to 2,059.40, 2,842.38 and 1,396.47 is: 1,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.40 : 2,842.38 = 1,396.47 : x
  2. Step 2: Convert to fraction form
    2,059.40/2,842.38 = 1,396.47/x
  3. Step 3: Cross multiply
    2,059.40x = 2,842.38 × 1,396.47
  4. Step 4: Simplify right side
    2,059.40x = 3,969,289.00
  5. Step 5: Solve for x
    x = 3,969,289.00/2,059.40
  6. Step 6: Final answer
    x = 1,927.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.