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Finding the Fourth Proportional to 3,003.30, 4,506.30 and 1,442.70

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Solution

The fourth proportional to 3,003.30, 4,506.30 and 1,442.70 is: 2,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.30 : 4,506.30 = 1,442.70 : x
  2. Step 2: Convert to fraction form
    3,003.30/4,506.30 = 1,442.70/x
  3. Step 3: Cross multiply
    3,003.30x = 4,506.30 × 1,442.70
  4. Step 4: Simplify right side
    3,003.30x = 6,501,239.01
  5. Step 5: Solve for x
    x = 6,501,239.01/3,003.30
  6. Step 6: Final answer
    x = 2,164.70

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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.