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Finding the Fourth Proportional to 1,446.70, 2,155.13 and 1,357.06

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Solution

The fourth proportional to 1,446.70, 2,155.13 and 1,357.06 is: 2,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.70 : 2,155.13 = 1,357.06 : x
  2. Step 2: Convert to fraction form
    1,446.70/2,155.13 = 1,357.06/x
  3. Step 3: Cross multiply
    1,446.70x = 2,155.13 × 1,357.06
  4. Step 4: Simplify right side
    1,446.70x = 2,924,640.72
  5. Step 5: Solve for x
    x = 2,924,640.72/1,446.70
  6. Step 6: Final answer
    x = 2,021.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.