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Finding the Fourth Proportional to 1,430.53, 2,147.78 and 737.71

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Solution

The fourth proportional to 1,430.53, 2,147.78 and 737.71 is: 1,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.53 : 2,147.78 = 737.71 : x
  2. Step 2: Convert to fraction form
    1,430.53/2,147.78 = 737.71/x
  3. Step 3: Cross multiply
    1,430.53x = 2,147.78 × 737.71
  4. Step 4: Simplify right side
    1,430.53x = 1,584,435.26
  5. Step 5: Solve for x
    x = 1,584,435.26/1,430.53
  6. Step 6: Final answer
    x = 1,107.59

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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.