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Finding the Fourth Proportional to 3,143.60, 4,338.06 and 1,746.28

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Solution

The fourth proportional to 3,143.60, 4,338.06 and 1,746.28 is: 2,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.60 : 4,338.06 = 1,746.28 : x
  2. Step 2: Convert to fraction form
    3,143.60/4,338.06 = 1,746.28/x
  3. Step 3: Cross multiply
    3,143.60x = 4,338.06 × 1,746.28
  4. Step 4: Simplify right side
    3,143.60x = 7,575,467.42
  5. Step 5: Solve for x
    x = 7,575,467.42/3,143.60
  6. Step 6: Final answer
    x = 2,409.81

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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.