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Finding the Fourth Proportional to 3,670.80, 5,506.56 and 1,330.98

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Solution

The fourth proportional to 3,670.80, 5,506.56 and 1,330.98 is: 1,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.80 : 5,506.56 = 1,330.98 : x
  2. Step 2: Convert to fraction form
    3,670.80/5,506.56 = 1,330.98/x
  3. Step 3: Cross multiply
    3,670.80x = 5,506.56 × 1,330.98
  4. Step 4: Simplify right side
    3,670.80x = 7,329,121.23
  5. Step 5: Solve for x
    x = 7,329,121.23/3,670.80
  6. Step 6: Final answer
    x = 1,996.60

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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.