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Finding the Fourth Proportional to 1,629.50, 2,444.61 and 603.50

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Solution

The fourth proportional to 1,629.50, 2,444.61 and 603.50 is: 905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.50 : 2,444.61 = 603.50 : x
  2. Step 2: Convert to fraction form
    1,629.50/2,444.61 = 603.50/x
  3. Step 3: Cross multiply
    1,629.50x = 2,444.61 × 603.50
  4. Step 4: Simplify right side
    1,629.50x = 1,475,322.14
  5. Step 5: Solve for x
    x = 1,475,322.14/1,629.50
  6. Step 6: Final answer
    x = 905.38

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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.