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Finding the Fourth Proportional to 2,370.01, 3,546.24 and 1,446.34

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Solution

The fourth proportional to 2,370.01, 3,546.24 and 1,446.34 is: 2,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.01 : 3,546.24 = 1,446.34 : x
  2. Step 2: Convert to fraction form
    2,370.01/3,546.24 = 1,446.34/x
  3. Step 3: Cross multiply
    2,370.01x = 3,546.24 × 1,446.34
  4. Step 4: Simplify right side
    2,370.01x = 5,129,068.76
  5. Step 5: Solve for x
    x = 5,129,068.76/2,370.01
  6. Step 6: Final answer
    x = 2,164.15

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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.