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Finding the Fourth Proportional to 2,681.32, 3,696.42 and 2,018.92

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Solution

The fourth proportional to 2,681.32, 3,696.42 and 2,018.92 is: 2,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.32 : 3,696.42 = 2,018.92 : x
  2. Step 2: Convert to fraction form
    2,681.32/3,696.42 = 2,018.92/x
  3. Step 3: Cross multiply
    2,681.32x = 3,696.42 × 2,018.92
  4. Step 4: Simplify right side
    2,681.32x = 7,462,776.27
  5. Step 5: Solve for x
    x = 7,462,776.27/2,681.32
  6. Step 6: Final answer
    x = 2,783.25

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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.