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Finding the Fourth Proportional to 2,795.68, 4,192.96 and 1,064

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Solution

The fourth proportional to 2,795.68, 4,192.96 and 1,064 is: 1,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.68 : 4,192.96 = 1,064 : x
  2. Step 2: Convert to fraction form
    2,795.68/4,192.96 = 1,064/x
  3. Step 3: Cross multiply
    2,795.68x = 4,192.96 × 1,064
  4. Step 4: Simplify right side
    2,795.68x = 4,461,309.44
  5. Step 5: Solve for x
    x = 4,461,309.44/2,795.68
  6. Step 6: Final answer
    x = 1,595.79

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