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Finding the Fourth Proportional to 1,956.99, 2,935.52 and 916.41

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Solution

The fourth proportional to 1,956.99, 2,935.52 and 916.41 is: 1,374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.99 : 2,935.52 = 916.41 : x
  2. Step 2: Convert to fraction form
    1,956.99/2,935.52 = 916.41/x
  3. Step 3: Cross multiply
    1,956.99x = 2,935.52 × 916.41
  4. Step 4: Simplify right side
    1,956.99x = 2,690,139.88
  5. Step 5: Solve for x
    x = 2,690,139.88/1,956.99
  6. Step 6: Final answer
    x = 1,374.63

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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.