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Finding the Fourth Proportional to 2,104.68, 3,154.44 and 1,065.40

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Solution

The fourth proportional to 2,104.68, 3,154.44 and 1,065.40 is: 1,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.68 : 3,154.44 = 1,065.40 : x
  2. Step 2: Convert to fraction form
    2,104.68/3,154.44 = 1,065.40/x
  3. Step 3: Cross multiply
    2,104.68x = 3,154.44 × 1,065.40
  4. Step 4: Simplify right side
    2,104.68x = 3,360,754.23
  5. Step 5: Solve for x
    x = 3,360,754.23/2,104.68
  6. Step 6: Final answer
    x = 1,596.80

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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.