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Finding the Fourth Proportional to 3,022.94, 4,534.99 and 1,048.41

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Solution

The fourth proportional to 3,022.94, 4,534.99 and 1,048.41 is: 1,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.94 : 4,534.99 = 1,048.41 : x
  2. Step 2: Convert to fraction form
    3,022.94/4,534.99 = 1,048.41/x
  3. Step 3: Cross multiply
    3,022.94x = 4,534.99 × 1,048.41
  4. Step 4: Simplify right side
    3,022.94x = 4,754,526.24
  5. Step 5: Solve for x
    x = 4,754,526.24/3,022.94
  6. Step 6: Final answer
    x = 1,572.81

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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.