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Finding the Fourth Proportional to 3,048.48, 4,574.40 and 1,661.76

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Solution

The fourth proportional to 3,048.48, 4,574.40 and 1,661.76 is: 2,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.48 : 4,574.40 = 1,661.76 : x
  2. Step 2: Convert to fraction form
    3,048.48/4,574.40 = 1,661.76/x
  3. Step 3: Cross multiply
    3,048.48x = 4,574.40 × 1,661.76
  4. Step 4: Simplify right side
    3,048.48x = 7,601,554.94
  5. Step 5: Solve for x
    x = 7,601,554.94/3,048.48
  6. Step 6: Final answer
    x = 2,493.56

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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.