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Finding the Fourth Proportional to 2,956.16, 4,434.48 and 981.78

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Solution

The fourth proportional to 2,956.16, 4,434.48 and 981.78 is: 1,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.16 : 4,434.48 = 981.78 : x
  2. Step 2: Convert to fraction form
    2,956.16/4,434.48 = 981.78/x
  3. Step 3: Cross multiply
    2,956.16x = 4,434.48 × 981.78
  4. Step 4: Simplify right side
    2,956.16x = 4,353,683.77
  5. Step 5: Solve for x
    x = 4,353,683.77/2,956.16
  6. Step 6: Final answer
    x = 1,472.75

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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.