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Finding the Fourth Proportional to 2,967.41, 4,094.82 and 1,708.17

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Solution

The fourth proportional to 2,967.41, 4,094.82 and 1,708.17 is: 2,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.41 : 4,094.82 = 1,708.17 : x
  2. Step 2: Convert to fraction form
    2,967.41/4,094.82 = 1,708.17/x
  3. Step 3: Cross multiply
    2,967.41x = 4,094.82 × 1,708.17
  4. Step 4: Simplify right side
    2,967.41x = 6,994,648.68
  5. Step 5: Solve for x
    x = 6,994,648.68/2,967.41
  6. Step 6: Final answer
    x = 2,357.16

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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.