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Finding the Fourth Proportional to 1,633.54, 2,255.52 and 1,004.93

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Solution

The fourth proportional to 1,633.54, 2,255.52 and 1,004.93 is: 1,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.54 : 2,255.52 = 1,004.93 : x
  2. Step 2: Convert to fraction form
    1,633.54/2,255.52 = 1,004.93/x
  3. Step 3: Cross multiply
    1,633.54x = 2,255.52 × 1,004.93
  4. Step 4: Simplify right side
    1,633.54x = 2,266,639.71
  5. Step 5: Solve for x
    x = 2,266,639.71/1,633.54
  6. Step 6: Final answer
    x = 1,387.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.