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Finding the Fourth Proportional to 1,406.71, 1,941.87 and 966.88

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Solution

The fourth proportional to 1,406.71, 1,941.87 and 966.88 is: 1,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.71 : 1,941.87 = 966.88 : x
  2. Step 2: Convert to fraction form
    1,406.71/1,941.87 = 966.88/x
  3. Step 3: Cross multiply
    1,406.71x = 1,941.87 × 966.88
  4. Step 4: Simplify right side
    1,406.71x = 1,877,555.27
  5. Step 5: Solve for x
    x = 1,877,555.27/1,406.71
  6. Step 6: Final answer
    x = 1,334.71

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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.