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Finding the Fourth Proportional to 1,914.68, 2,870.73 and 681.41

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Solution

The fourth proportional to 1,914.68, 2,870.73 and 681.41 is: 1,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.68 : 2,870.73 = 681.41 : x
  2. Step 2: Convert to fraction form
    1,914.68/2,870.73 = 681.41/x
  3. Step 3: Cross multiply
    1,914.68x = 2,870.73 × 681.41
  4. Step 4: Simplify right side
    1,914.68x = 1,956,151.31
  5. Step 5: Solve for x
    x = 1,956,151.31/1,914.68
  6. Step 6: Final answer
    x = 1,021.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.