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Finding the Fourth Proportional to 1,743.69, 2,407.18 and 1,219.89

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Solution

The fourth proportional to 1,743.69, 2,407.18 and 1,219.89 is: 1,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.69 : 2,407.18 = 1,219.89 : x
  2. Step 2: Convert to fraction form
    1,743.69/2,407.18 = 1,219.89/x
  3. Step 3: Cross multiply
    1,743.69x = 2,407.18 × 1,219.89
  4. Step 4: Simplify right side
    1,743.69x = 2,936,494.81
  5. Step 5: Solve for x
    x = 2,936,494.81/1,743.69
  6. Step 6: Final answer
    x = 1,684.07

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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.