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Finding the Fourth Proportional to 2,010.65, 2,774.78 and 1,126.46

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Solution

The fourth proportional to 2,010.65, 2,774.78 and 1,126.46 is: 1,554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.65 : 2,774.78 = 1,126.46 : x
  2. Step 2: Convert to fraction form
    2,010.65/2,774.78 = 1,126.46/x
  3. Step 3: Cross multiply
    2,010.65x = 2,774.78 × 1,126.46
  4. Step 4: Simplify right side
    2,010.65x = 3,125,659.17
  5. Step 5: Solve for x
    x = 3,125,659.17/2,010.65
  6. Step 6: Final answer
    x = 1,554.56

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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.