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Finding the Fourth Proportional to 1,893.82, 2,613.46 and 1,054.50

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Solution

The fourth proportional to 1,893.82, 2,613.46 and 1,054.50 is: 1,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.82 : 2,613.46 = 1,054.50 : x
  2. Step 2: Convert to fraction form
    1,893.82/2,613.46 = 1,054.50/x
  3. Step 3: Cross multiply
    1,893.82x = 2,613.46 × 1,054.50
  4. Step 4: Simplify right side
    1,893.82x = 2,755,893.57
  5. Step 5: Solve for x
    x = 2,755,893.57/1,893.82
  6. Step 6: Final answer
    x = 1,455.20

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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.