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Finding the Fourth Proportional to 1,972.53, 2,956.37 and 1,444.64

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Solution

The fourth proportional to 1,972.53, 2,956.37 and 1,444.64 is: 2,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.53 : 2,956.37 = 1,444.64 : x
  2. Step 2: Convert to fraction form
    1,972.53/2,956.37 = 1,444.64/x
  3. Step 3: Cross multiply
    1,972.53x = 2,956.37 × 1,444.64
  4. Step 4: Simplify right side
    1,972.53x = 4,270,868.35
  5. Step 5: Solve for x
    x = 4,270,868.35/1,972.53
  6. Step 6: Final answer
    x = 2,165.17

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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.