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Finding the Fourth Proportional to 3,096.94, 4,645.98 and 1,017.06

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Solution

The fourth proportional to 3,096.94, 4,645.98 and 1,017.06 is: 1,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.94 : 4,645.98 = 1,017.06 : x
  2. Step 2: Convert to fraction form
    3,096.94/4,645.98 = 1,017.06/x
  3. Step 3: Cross multiply
    3,096.94x = 4,645.98 × 1,017.06
  4. Step 4: Simplify right side
    3,096.94x = 4,725,240.42
  5. Step 5: Solve for x
    x = 4,725,240.42/3,096.94
  6. Step 6: Final answer
    x = 1,525.78

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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.