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Finding the Fourth Proportional to 1,972.09, 2,956.04 and 1,483.63

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Solution

The fourth proportional to 1,972.09, 2,956.04 and 1,483.63 is: 2,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.09 : 2,956.04 = 1,483.63 : x
  2. Step 2: Convert to fraction form
    1,972.09/2,956.04 = 1,483.63/x
  3. Step 3: Cross multiply
    1,972.09x = 2,956.04 × 1,483.63
  4. Step 4: Simplify right side
    1,972.09x = 4,385,662.21
  5. Step 5: Solve for x
    x = 4,385,662.21/1,972.09
  6. Step 6: Final answer
    x = 2,223.87

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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.