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Finding the Fourth Proportional to 1,774.49, 2,662.15 and 894.83

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Solution

The fourth proportional to 1,774.49, 2,662.15 and 894.83 is: 1,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.49 : 2,662.15 = 894.83 : x
  2. Step 2: Convert to fraction form
    1,774.49/2,662.15 = 894.83/x
  3. Step 3: Cross multiply
    1,774.49x = 2,662.15 × 894.83
  4. Step 4: Simplify right side
    1,774.49x = 2,382,171.68
  5. Step 5: Solve for x
    x = 2,382,171.68/1,774.49
  6. Step 6: Final answer
    x = 1,342.45

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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.