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Finding the Fourth Proportional to 2,054.34, 3,078.54 and 1,013.22

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Solution

The fourth proportional to 2,054.34, 3,078.54 and 1,013.22 is: 1,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.34 : 3,078.54 = 1,013.22 : x
  2. Step 2: Convert to fraction form
    2,054.34/3,078.54 = 1,013.22/x
  3. Step 3: Cross multiply
    2,054.34x = 3,078.54 × 1,013.22
  4. Step 4: Simplify right side
    2,054.34x = 3,119,238.30
  5. Step 5: Solve for x
    x = 3,119,238.30/2,054.34
  6. Step 6: Final answer
    x = 1,518.37

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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.