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Finding the Fourth Proportional to 1,662.66, 2,492.39 and 738.34

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Solution

The fourth proportional to 1,662.66, 2,492.39 and 738.34 is: 1,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.66 : 2,492.39 = 738.34 : x
  2. Step 2: Convert to fraction form
    1,662.66/2,492.39 = 738.34/x
  3. Step 3: Cross multiply
    1,662.66x = 2,492.39 × 738.34
  4. Step 4: Simplify right side
    1,662.66x = 1,840,226.85
  5. Step 5: Solve for x
    x = 1,840,226.85/1,662.66
  6. Step 6: Final answer
    x = 1,106.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.