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Finding the Fourth Proportional to 2,669.40, 4,003.80 and 795.36

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Solution

The fourth proportional to 2,669.40, 4,003.80 and 795.36 is: 1,192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.40 : 4,003.80 = 795.36 : x
  2. Step 2: Convert to fraction form
    2,669.40/4,003.80 = 795.36/x
  3. Step 3: Cross multiply
    2,669.40x = 4,003.80 × 795.36
  4. Step 4: Simplify right side
    2,669.40x = 3,184,462.37
  5. Step 5: Solve for x
    x = 3,184,462.37/2,669.40
  6. Step 6: Final answer
    x = 1,192.95

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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.