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Finding the Fourth Proportional to 1,971.09, 2,954.55 and 654.50

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Solution

The fourth proportional to 1,971.09, 2,954.55 and 654.50 is: 981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.09 : 2,954.55 = 654.50 : x
  2. Step 2: Convert to fraction form
    1,971.09/2,954.55 = 654.50/x
  3. Step 3: Cross multiply
    1,971.09x = 2,954.55 × 654.50
  4. Step 4: Simplify right side
    1,971.09x = 1,933,752.98
  5. Step 5: Solve for x
    x = 1,933,752.98/1,971.09
  6. Step 6: Final answer
    x = 981.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.