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Finding the Fourth Proportional to 3,143.58, 4,338.16 and 1,746.34

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Solution

The fourth proportional to 3,143.58, 4,338.16 and 1,746.34 is: 2,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.58 : 4,338.16 = 1,746.34 : x
  2. Step 2: Convert to fraction form
    3,143.58/4,338.16 = 1,746.34/x
  3. Step 3: Cross multiply
    3,143.58x = 4,338.16 × 1,746.34
  4. Step 4: Simplify right side
    3,143.58x = 7,575,902.33
  5. Step 5: Solve for x
    x = 7,575,902.33/3,143.58
  6. Step 6: Final answer
    x = 2,409.96

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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.