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Finding the Fourth Proportional to 1,960.96, 2,708.50 and 1,429

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Solution

The fourth proportional to 1,960.96, 2,708.50 and 1,429 is: 1,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.96 : 2,708.50 = 1,429 : x
  2. Step 2: Convert to fraction form
    1,960.96/2,708.50 = 1,429/x
  3. Step 3: Cross multiply
    1,960.96x = 2,708.50 × 1,429
  4. Step 4: Simplify right side
    1,960.96x = 3,870,446.50
  5. Step 5: Solve for x
    x = 3,870,446.50/1,960.96
  6. Step 6: Final answer
    x = 1,973.75

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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.