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Finding the Fourth Proportional to 1,951.35, 2,927.03 and 1,406.99

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Solution

The fourth proportional to 1,951.35, 2,927.03 and 1,406.99 is: 2,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.35 : 2,927.03 = 1,406.99 : x
  2. Step 2: Convert to fraction form
    1,951.35/2,927.03 = 1,406.99/x
  3. Step 3: Cross multiply
    1,951.35x = 2,927.03 × 1,406.99
  4. Step 4: Simplify right side
    1,951.35x = 4,118,280.27
  5. Step 5: Solve for x
    x = 4,118,280.27/1,951.35
  6. Step 6: Final answer
    x = 2,110.48

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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.