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Finding the Fourth Proportional to 1,693.40, 2,538.72 and 1,042.76

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Solution

The fourth proportional to 1,693.40, 2,538.72 and 1,042.76 is: 1,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.40 : 2,538.72 = 1,042.76 : x
  2. Step 2: Convert to fraction form
    1,693.40/2,538.72 = 1,042.76/x
  3. Step 3: Cross multiply
    1,693.40x = 2,538.72 × 1,042.76
  4. Step 4: Simplify right side
    1,693.40x = 2,647,282.01
  5. Step 5: Solve for x
    x = 2,647,282.01/1,693.40
  6. Step 6: Final answer
    x = 1,563.30

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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.