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Finding the Fourth Proportional to 3,143.74, 4,338.75 and 1,746.76

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Solution

The fourth proportional to 3,143.74, 4,338.75 and 1,746.76 is: 2,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.74 : 4,338.75 = 1,746.76 : x
  2. Step 2: Convert to fraction form
    3,143.74/4,338.75 = 1,746.76/x
  3. Step 3: Cross multiply
    3,143.74x = 4,338.75 × 1,746.76
  4. Step 4: Simplify right side
    3,143.74x = 7,578,754.95
  5. Step 5: Solve for x
    x = 7,578,754.95/3,143.74
  6. Step 6: Final answer
    x = 2,410.74

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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.