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Finding the Fourth Proportional to 1,711.68, 2,568.80 and 1,063.36

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Solution

The fourth proportional to 1,711.68, 2,568.80 and 1,063.36 is: 1,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.68 : 2,568.80 = 1,063.36 : x
  2. Step 2: Convert to fraction form
    1,711.68/2,568.80 = 1,063.36/x
  3. Step 3: Cross multiply
    1,711.68x = 2,568.80 × 1,063.36
  4. Step 4: Simplify right side
    1,711.68x = 2,731,559.17
  5. Step 5: Solve for x
    x = 2,731,559.17/1,711.68
  6. Step 6: Final answer
    x = 1,595.84

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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.