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Finding the Fourth Proportional to 1,893.34, 2,612.87 and 1,054.09

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Solution

The fourth proportional to 1,893.34, 2,612.87 and 1,054.09 is: 1,454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.34 : 2,612.87 = 1,054.09 : x
  2. Step 2: Convert to fraction form
    1,893.34/2,612.87 = 1,054.09/x
  3. Step 3: Cross multiply
    1,893.34x = 2,612.87 × 1,054.09
  4. Step 4: Simplify right side
    1,893.34x = 2,754,200.14
  5. Step 5: Solve for x
    x = 2,754,200.14/1,893.34
  6. Step 6: Final answer
    x = 1,454.68

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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.