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Finding the Fourth Proportional to 2,731.40, 3,768.26 and 1,681.64

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Solution

The fourth proportional to 2,731.40, 3,768.26 and 1,681.64 is: 2,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.40 : 3,768.26 = 1,681.64 : x
  2. Step 2: Convert to fraction form
    2,731.40/3,768.26 = 1,681.64/x
  3. Step 3: Cross multiply
    2,731.40x = 3,768.26 × 1,681.64
  4. Step 4: Simplify right side
    2,731.40x = 6,336,870.37
  5. Step 5: Solve for x
    x = 6,336,870.37/2,731.40
  6. Step 6: Final answer
    x = 2,320.01

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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.