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Finding the Fourth Proportional to 3,407.70, 5,111.55 and 1,763.70

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Solution

The fourth proportional to 3,407.70, 5,111.55 and 1,763.70 is: 2,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.70 : 5,111.55 = 1,763.70 : x
  2. Step 2: Convert to fraction form
    3,407.70/5,111.55 = 1,763.70/x
  3. Step 3: Cross multiply
    3,407.70x = 5,111.55 × 1,763.70
  4. Step 4: Simplify right side
    3,407.70x = 9,015,240.74
  5. Step 5: Solve for x
    x = 9,015,240.74/3,407.70
  6. Step 6: Final answer
    x = 2,645.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.