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Finding the Fourth Proportional to 1,971.62, 2,956.69 and 655.13

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Solution

The fourth proportional to 1,971.62, 2,956.69 and 655.13 is: 982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.62 : 2,956.69 = 655.13 : x
  2. Step 2: Convert to fraction form
    1,971.62/2,956.69 = 655.13/x
  3. Step 3: Cross multiply
    1,971.62x = 2,956.69 × 655.13
  4. Step 4: Simplify right side
    1,971.62x = 1,937,016.32
  5. Step 5: Solve for x
    x = 1,937,016.32/1,971.62
  6. Step 6: Final answer
    x = 982.45

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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.