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Finding the Fourth Proportional to 2,107.50, 2,908.35 and 1,176

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Solution

The fourth proportional to 2,107.50, 2,908.35 and 1,176 is: 1,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.50 : 2,908.35 = 1,176 : x
  2. Step 2: Convert to fraction form
    2,107.50/2,908.35 = 1,176/x
  3. Step 3: Cross multiply
    2,107.50x = 2,908.35 × 1,176
  4. Step 4: Simplify right side
    2,107.50x = 3,420,219.60
  5. Step 5: Solve for x
    x = 3,420,219.60/2,107.50
  6. Step 6: Final answer
    x = 1,622.88

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