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Finding the Fourth Proportional to 3,004.94, 4,507.68 and 1,057.70

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Solution

The fourth proportional to 3,004.94, 4,507.68 and 1,057.70 is: 1,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.94 : 4,507.68 = 1,057.70 : x
  2. Step 2: Convert to fraction form
    3,004.94/4,507.68 = 1,057.70/x
  3. Step 3: Cross multiply
    3,004.94x = 4,507.68 × 1,057.70
  4. Step 4: Simplify right side
    3,004.94x = 4,767,773.14
  5. Step 5: Solve for x
    x = 4,767,773.14/3,004.94
  6. Step 6: Final answer
    x = 1,586.65

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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.