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Finding the Fourth Proportional to 1,956.91, 2,933.98 and 916.35

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Solution

The fourth proportional to 1,956.91, 2,933.98 and 916.35 is: 1,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.91 : 2,933.98 = 916.35 : x
  2. Step 2: Convert to fraction form
    1,956.91/2,933.98 = 916.35/x
  3. Step 3: Cross multiply
    1,956.91x = 2,933.98 × 916.35
  4. Step 4: Simplify right side
    1,956.91x = 2,688,537.99
  5. Step 5: Solve for x
    x = 2,688,537.99/1,956.91
  6. Step 6: Final answer
    x = 1,373.87

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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.