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Finding the Fourth Proportional to 2,010.75, 2,774.85 and 1,312.14

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Solution

The fourth proportional to 2,010.75, 2,774.85 and 1,312.14 is: 1,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.75 : 2,774.85 = 1,312.14 : x
  2. Step 2: Convert to fraction form
    2,010.75/2,774.85 = 1,312.14/x
  3. Step 3: Cross multiply
    2,010.75x = 2,774.85 × 1,312.14
  4. Step 4: Simplify right side
    2,010.75x = 3,640,991.68
  5. Step 5: Solve for x
    x = 3,640,991.68/2,010.75
  6. Step 6: Final answer
    x = 1,810.76

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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.