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Finding the Fourth Proportional to 2,012.01, 2,776.69 and 1,513.76

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Solution

The fourth proportional to 2,012.01, 2,776.69 and 1,513.76 is: 2,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.01 : 2,776.69 = 1,513.76 : x
  2. Step 2: Convert to fraction form
    2,012.01/2,776.69 = 1,513.76/x
  3. Step 3: Cross multiply
    2,012.01x = 2,776.69 × 1,513.76
  4. Step 4: Simplify right side
    2,012.01x = 4,203,240.68
  5. Step 5: Solve for x
    x = 4,203,240.68/2,012.01
  6. Step 6: Final answer
    x = 2,089.08

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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.