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Finding the Fourth Proportional to 3,178.73, 4,386.51 and 1,743.13

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Solution

The fourth proportional to 3,178.73, 4,386.51 and 1,743.13 is: 2,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.73 : 4,386.51 = 1,743.13 : x
  2. Step 2: Convert to fraction form
    3,178.73/4,386.51 = 1,743.13/x
  3. Step 3: Cross multiply
    3,178.73x = 4,386.51 × 1,743.13
  4. Step 4: Simplify right side
    3,178.73x = 7,646,237.99
  5. Step 5: Solve for x
    x = 7,646,237.99/3,178.73
  6. Step 6: Final answer
    x = 2,405.44

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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.