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Finding the Fourth Proportional to 1,971.13, 2,956.32 and 654.68

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Solution

The fourth proportional to 1,971.13, 2,956.32 and 654.68 is: 981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.13 : 2,956.32 = 654.68 : x
  2. Step 2: Convert to fraction form
    1,971.13/2,956.32 = 654.68/x
  3. Step 3: Cross multiply
    1,971.13x = 2,956.32 × 654.68
  4. Step 4: Simplify right side
    1,971.13x = 1,935,441.94
  5. Step 5: Solve for x
    x = 1,935,441.94/1,971.13
  6. Step 6: Final answer
    x = 981.89

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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.