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Finding the Fourth Proportional to 1,378.65, 2,066.13 and 1,232.22

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Solution

The fourth proportional to 1,378.65, 2,066.13 and 1,232.22 is: 1,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.65 : 2,066.13 = 1,232.22 : x
  2. Step 2: Convert to fraction form
    1,378.65/2,066.13 = 1,232.22/x
  3. Step 3: Cross multiply
    1,378.65x = 2,066.13 × 1,232.22
  4. Step 4: Simplify right side
    1,378.65x = 2,545,926.71
  5. Step 5: Solve for x
    x = 2,545,926.71/1,378.65
  6. Step 6: Final answer
    x = 1,846.68

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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.