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Finding the Fourth Proportional to 3,097.41, 4,274.28 and 1,681.07

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Solution

The fourth proportional to 3,097.41, 4,274.28 and 1,681.07 is: 2,319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.41 : 4,274.28 = 1,681.07 : x
  2. Step 2: Convert to fraction form
    3,097.41/4,274.28 = 1,681.07/x
  3. Step 3: Cross multiply
    3,097.41x = 4,274.28 × 1,681.07
  4. Step 4: Simplify right side
    3,097.41x = 7,185,342.51
  5. Step 5: Solve for x
    x = 7,185,342.51/3,097.41
  6. Step 6: Final answer
    x = 2,319.79

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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.