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Finding the Fourth Proportional to 1,551.30, 2,326.83 and 511.17

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Solution

The fourth proportional to 1,551.30, 2,326.83 and 511.17 is: 766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.30 : 2,326.83 = 511.17 : x
  2. Step 2: Convert to fraction form
    1,551.30/2,326.83 = 511.17/x
  3. Step 3: Cross multiply
    1,551.30x = 2,326.83 × 511.17
  4. Step 4: Simplify right side
    1,551.30x = 1,189,405.69
  5. Step 5: Solve for x
    x = 1,189,405.69/1,551.30
  6. Step 6: Final answer
    x = 766.72

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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.