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Finding the Fourth Proportional to 1,636.36, 2,454.01 and 540.45

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Solution

The fourth proportional to 1,636.36, 2,454.01 and 540.45 is: 810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.36 : 2,454.01 = 540.45 : x
  2. Step 2: Convert to fraction form
    1,636.36/2,454.01 = 540.45/x
  3. Step 3: Cross multiply
    1,636.36x = 2,454.01 × 540.45
  4. Step 4: Simplify right side
    1,636.36x = 1,326,268.35
  5. Step 5: Solve for x
    x = 1,326,268.35/1,636.36
  6. Step 6: Final answer
    x = 810.50

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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.