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Finding the Fourth Proportional to 1,743.36, 2,407.23 and 1,349.70

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Solution

The fourth proportional to 1,743.36, 2,407.23 and 1,349.70 is: 1,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.36 : 2,407.23 = 1,349.70 : x
  2. Step 2: Convert to fraction form
    1,743.36/2,407.23 = 1,349.70/x
  3. Step 3: Cross multiply
    1,743.36x = 2,407.23 × 1,349.70
  4. Step 4: Simplify right side
    1,743.36x = 3,249,038.33
  5. Step 5: Solve for x
    x = 3,249,038.33/1,743.36
  6. Step 6: Final answer
    x = 1,863.66

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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.