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Finding the Fourth Proportional to 3,022.51, 4,532.74 and 1,047.68

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Solution

The fourth proportional to 3,022.51, 4,532.74 and 1,047.68 is: 1,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.51 : 4,532.74 = 1,047.68 : x
  2. Step 2: Convert to fraction form
    3,022.51/4,532.74 = 1,047.68/x
  3. Step 3: Cross multiply
    3,022.51x = 4,532.74 × 1,047.68
  4. Step 4: Simplify right side
    3,022.51x = 4,748,847.09
  5. Step 5: Solve for x
    x = 4,748,847.09/3,022.51
  6. Step 6: Final answer
    x = 1,571.16

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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.