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Finding the Fourth Proportional to 2,956.03, 4,434.56 and 981.77

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Solution

The fourth proportional to 2,956.03, 4,434.56 and 981.77 is: 1,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.03 : 4,434.56 = 981.77 : x
  2. Step 2: Convert to fraction form
    2,956.03/4,434.56 = 981.77/x
  3. Step 3: Cross multiply
    2,956.03x = 4,434.56 × 981.77
  4. Step 4: Simplify right side
    2,956.03x = 4,353,731.51
  5. Step 5: Solve for x
    x = 4,353,731.51/2,956.03
  6. Step 6: Final answer
    x = 1,472.83

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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.