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Finding the Fourth Proportional to 3,057.72, 4,584.16 and 1,497.06

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Solution

The fourth proportional to 3,057.72, 4,584.16 and 1,497.06 is: 2,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.72 : 4,584.16 = 1,497.06 : x
  2. Step 2: Convert to fraction form
    3,057.72/4,584.16 = 1,497.06/x
  3. Step 3: Cross multiply
    3,057.72x = 4,584.16 × 1,497.06
  4. Step 4: Simplify right side
    3,057.72x = 6,862,762.57
  5. Step 5: Solve for x
    x = 6,862,762.57/3,057.72
  6. Step 6: Final answer
    x = 2,244.41

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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.