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Finding the Fourth Proportional to 3,194.26, 4,407.57 and 1,935.10

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Solution

The fourth proportional to 3,194.26, 4,407.57 and 1,935.10 is: 2,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.26 : 4,407.57 = 1,935.10 : x
  2. Step 2: Convert to fraction form
    3,194.26/4,407.57 = 1,935.10/x
  3. Step 3: Cross multiply
    3,194.26x = 4,407.57 × 1,935.10
  4. Step 4: Simplify right side
    3,194.26x = 8,529,088.71
  5. Step 5: Solve for x
    x = 8,529,088.71/3,194.26
  6. Step 6: Final answer
    x = 2,670.13

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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.