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Finding the Fourth Proportional to 1,981.99, 2,971.54 and 1,289.35

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Solution

The fourth proportional to 1,981.99, 2,971.54 and 1,289.35 is: 1,933.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.99 : 2,971.54 = 1,289.35 : x
  2. Step 2: Convert to fraction form
    1,981.99/2,971.54 = 1,289.35/x
  3. Step 3: Cross multiply
    1,981.99x = 2,971.54 × 1,289.35
  4. Step 4: Simplify right side
    1,981.99x = 3,831,355.10
  5. Step 5: Solve for x
    x = 3,831,355.10/1,981.99
  6. Step 6: Final answer
    x = 1,933.08

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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.