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Finding the Fourth Proportional to 1,704.92, 2,353.97 and 1,312.88

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Solution

The fourth proportional to 1,704.92, 2,353.97 and 1,312.88 is: 1,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.92 : 2,353.97 = 1,312.88 : x
  2. Step 2: Convert to fraction form
    1,704.92/2,353.97 = 1,312.88/x
  3. Step 3: Cross multiply
    1,704.92x = 2,353.97 × 1,312.88
  4. Step 4: Simplify right side
    1,704.92x = 3,090,474.25
  5. Step 5: Solve for x
    x = 3,090,474.25/1,704.92
  6. Step 6: Final answer
    x = 1,812.68

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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.