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Finding the Fourth Proportional to 1,733.41, 2,600.49 and 638.02

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Solution

The fourth proportional to 1,733.41, 2,600.49 and 638.02 is: 957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.41 : 2,600.49 = 638.02 : x
  2. Step 2: Convert to fraction form
    1,733.41/2,600.49 = 638.02/x
  3. Step 3: Cross multiply
    1,733.41x = 2,600.49 × 638.02
  4. Step 4: Simplify right side
    1,733.41x = 1,659,164.63
  5. Step 5: Solve for x
    x = 1,659,164.63/1,733.41
  6. Step 6: Final answer
    x = 957.17

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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.