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Finding the Fourth Proportional to 1,551.15, 2,326.81 and 511.48

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Solution

The fourth proportional to 1,551.15, 2,326.81 and 511.48 is: 767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.15 : 2,326.81 = 511.48 : x
  2. Step 2: Convert to fraction form
    1,551.15/2,326.81 = 511.48/x
  3. Step 3: Cross multiply
    1,551.15x = 2,326.81 × 511.48
  4. Step 4: Simplify right side
    1,551.15x = 1,190,119.37
  5. Step 5: Solve for x
    x = 1,190,119.37/1,551.15
  6. Step 6: Final answer
    x = 767.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.