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Finding the Fourth Proportional to 1,970.90, 2,720.40 and 1,381.58

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Solution

The fourth proportional to 1,970.90, 2,720.40 and 1,381.58 is: 1,906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.90 : 2,720.40 = 1,381.58 : x
  2. Step 2: Convert to fraction form
    1,970.90/2,720.40 = 1,381.58/x
  3. Step 3: Cross multiply
    1,970.90x = 2,720.40 × 1,381.58
  4. Step 4: Simplify right side
    1,970.90x = 3,758,450.23
  5. Step 5: Solve for x
    x = 3,758,450.23/1,970.90
  6. Step 6: Final answer
    x = 1,906.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.