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Finding the Fourth Proportional to 2,271.48, 3,405.82 and 790.36

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Solution

The fourth proportional to 2,271.48, 3,405.82 and 790.36 is: 1,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.48 : 3,405.82 = 790.36 : x
  2. Step 2: Convert to fraction form
    2,271.48/3,405.82 = 790.36/x
  3. Step 3: Cross multiply
    2,271.48x = 3,405.82 × 790.36
  4. Step 4: Simplify right side
    2,271.48x = 2,691,823.90
  5. Step 5: Solve for x
    x = 2,691,823.90/2,271.48
  6. Step 6: Final answer
    x = 1,185.05

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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.