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Finding the Fourth Proportional to 3,143.70, 4,341.06 and 1,966.77

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Solution

The fourth proportional to 3,143.70, 4,341.06 and 1,966.77 is: 2,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.70 : 4,341.06 = 1,966.77 : x
  2. Step 2: Convert to fraction form
    3,143.70/4,341.06 = 1,966.77/x
  3. Step 3: Cross multiply
    3,143.70x = 4,341.06 × 1,966.77
  4. Step 4: Simplify right side
    3,143.70x = 8,537,866.58
  5. Step 5: Solve for x
    x = 8,537,866.58/3,143.70
  6. Step 6: Final answer
    x = 2,715.87

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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.