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Finding the Fourth Proportional to 1,971.90, 2,720.16 and 1,599.30

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Solution

The fourth proportional to 1,971.90, 2,720.16 and 1,599.30 is: 2,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.90 : 2,720.16 = 1,599.30 : x
  2. Step 2: Convert to fraction form
    1,971.90/2,720.16 = 1,599.30/x
  3. Step 3: Cross multiply
    1,971.90x = 2,720.16 × 1,599.30
  4. Step 4: Simplify right side
    1,971.90x = 4,350,351.89
  5. Step 5: Solve for x
    x = 4,350,351.89/1,971.90
  6. Step 6: Final answer
    x = 2,206.17

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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.