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Finding the Fourth Proportional to 3,143.88, 4,338.68 and 1,746.63

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Solution

The fourth proportional to 3,143.88, 4,338.68 and 1,746.63 is: 2,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.88 : 4,338.68 = 1,746.63 : x
  2. Step 2: Convert to fraction form
    3,143.88/4,338.68 = 1,746.63/x
  3. Step 3: Cross multiply
    3,143.88x = 4,338.68 × 1,746.63
  4. Step 4: Simplify right side
    3,143.88x = 7,578,068.65
  5. Step 5: Solve for x
    x = 7,578,068.65/3,143.88
  6. Step 6: Final answer
    x = 2,410.42

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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.