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Finding the Fourth Proportional to 2,010.66, 2,774.77 and 1,126.44

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Solution

The fourth proportional to 2,010.66, 2,774.77 and 1,126.44 is: 1,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.66 : 2,774.77 = 1,126.44 : x
  2. Step 2: Convert to fraction form
    2,010.66/2,774.77 = 1,126.44/x
  3. Step 3: Cross multiply
    2,010.66x = 2,774.77 × 1,126.44
  4. Step 4: Simplify right side
    2,010.66x = 3,125,613.22
  5. Step 5: Solve for x
    x = 3,125,613.22/2,010.66
  6. Step 6: Final answer
    x = 1,554.52

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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.