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Finding the Fourth Proportional to 1,266.84, 1,893.27 and 1,168.32

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Solution

The fourth proportional to 1,266.84, 1,893.27 and 1,168.32 is: 1,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.84 : 1,893.27 = 1,168.32 : x
  2. Step 2: Convert to fraction form
    1,266.84/1,893.27 = 1,168.32/x
  3. Step 3: Cross multiply
    1,266.84x = 1,893.27 × 1,168.32
  4. Step 4: Simplify right side
    1,266.84x = 2,211,956.69
  5. Step 5: Solve for x
    x = 2,211,956.69/1,266.84
  6. Step 6: Final answer
    x = 1,746.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.