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Finding the Fourth Proportional to 2,795.63, 4,193.44 and 1,064.66

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Solution

The fourth proportional to 2,795.63, 4,193.44 and 1,064.66 is: 1,596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.63 : 4,193.44 = 1,064.66 : x
  2. Step 2: Convert to fraction form
    2,795.63/4,193.44 = 1,064.66/x
  3. Step 3: Cross multiply
    2,795.63x = 4,193.44 × 1,064.66
  4. Step 4: Simplify right side
    2,795.63x = 4,464,564.20
  5. Step 5: Solve for x
    x = 4,464,564.20/2,795.63
  6. Step 6: Final answer
    x = 1,596.98

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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.