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Finding the Fourth Proportional to 2,063.65, 3,094.74 and 893.60

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Solution

The fourth proportional to 2,063.65, 3,094.74 and 893.60 is: 1,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.65 : 3,094.74 = 893.60 : x
  2. Step 2: Convert to fraction form
    2,063.65/3,094.74 = 893.60/x
  3. Step 3: Cross multiply
    2,063.65x = 3,094.74 × 893.60
  4. Step 4: Simplify right side
    2,063.65x = 2,765,459.66
  5. Step 5: Solve for x
    x = 2,765,459.66/2,063.65
  6. Step 6: Final answer
    x = 1,340.08

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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.