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Finding the Fourth Proportional to 2,446.03, 3,669.18 and 714.70

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Solution

The fourth proportional to 2,446.03, 3,669.18 and 714.70 is: 1,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.03 : 3,669.18 = 714.70 : x
  2. Step 2: Convert to fraction form
    2,446.03/3,669.18 = 714.70/x
  3. Step 3: Cross multiply
    2,446.03x = 3,669.18 × 714.70
  4. Step 4: Simplify right side
    2,446.03x = 2,622,362.95
  5. Step 5: Solve for x
    x = 2,622,362.95/2,446.03
  6. Step 6: Final answer
    x = 1,072.09

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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.