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Finding the Fourth Proportional to 2,038.55, 3,057.21 and 739.71

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Solution

The fourth proportional to 2,038.55, 3,057.21 and 739.71 is: 1,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.55 : 3,057.21 = 739.71 : x
  2. Step 2: Convert to fraction form
    2,038.55/3,057.21 = 739.71/x
  3. Step 3: Cross multiply
    2,038.55x = 3,057.21 × 739.71
  4. Step 4: Simplify right side
    2,038.55x = 2,261,448.81
  5. Step 5: Solve for x
    x = 2,261,448.81/2,038.55
  6. Step 6: Final answer
    x = 1,109.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.