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Finding the Fourth Proportional to 1,972.10, 2,958.32 and 655.81

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Solution

The fourth proportional to 1,972.10, 2,958.32 and 655.81 is: 983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.10 : 2,958.32 = 655.81 : x
  2. Step 2: Convert to fraction form
    1,972.10/2,958.32 = 655.81/x
  3. Step 3: Cross multiply
    1,972.10x = 2,958.32 × 655.81
  4. Step 4: Simplify right side
    1,972.10x = 1,940,085.16
  5. Step 5: Solve for x
    x = 1,940,085.16/1,972.10
  6. Step 6: Final answer
    x = 983.76

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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.