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Finding the Fourth Proportional to 2,179.93, 3,009.41 and 1,681.47

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Solution

The fourth proportional to 2,179.93, 3,009.41 and 1,681.47 is: 2,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.93 : 3,009.41 = 1,681.47 : x
  2. Step 2: Convert to fraction form
    2,179.93/3,009.41 = 1,681.47/x
  3. Step 3: Cross multiply
    2,179.93x = 3,009.41 × 1,681.47
  4. Step 4: Simplify right side
    2,179.93x = 5,060,232.63
  5. Step 5: Solve for x
    x = 5,060,232.63/2,179.93
  6. Step 6: Final answer
    x = 2,321.28

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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.