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Finding the Fourth Proportional to 2,688.94, 3,704.12 and 2,289.32

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Solution

The fourth proportional to 2,688.94, 3,704.12 and 2,289.32 is: 3,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.94 : 3,704.12 = 2,289.32 : x
  2. Step 2: Convert to fraction form
    2,688.94/3,704.12 = 2,289.32/x
  3. Step 3: Cross multiply
    2,688.94x = 3,704.12 × 2,289.32
  4. Step 4: Simplify right side
    2,688.94x = 8,479,886.03
  5. Step 5: Solve for x
    x = 8,479,886.03/2,688.94
  6. Step 6: Final answer
    x = 3,153.62

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1.5x scale

Why These Related Problems?

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