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Finding the Fourth Proportional to 2,513.78, 3,768.84 and 1,690.01

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Solution

The fourth proportional to 2,513.78, 3,768.84 and 1,690.01 is: 2,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.78 : 3,768.84 = 1,690.01 : x
  2. Step 2: Convert to fraction form
    2,513.78/3,768.84 = 1,690.01/x
  3. Step 3: Cross multiply
    2,513.78x = 3,768.84 × 1,690.01
  4. Step 4: Simplify right side
    2,513.78x = 6,369,358.44
  5. Step 5: Solve for x
    x = 6,369,358.44/2,513.78
  6. Step 6: Final answer
    x = 2,533.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.