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Finding the Fourth Proportional to 1,951.74, 2,693.93 and 1,288.35

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Solution

The fourth proportional to 1,951.74, 2,693.93 and 1,288.35 is: 1,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.74 : 2,693.93 = 1,288.35 : x
  2. Step 2: Convert to fraction form
    1,951.74/2,693.93 = 1,288.35/x
  3. Step 3: Cross multiply
    1,951.74x = 2,693.93 × 1,288.35
  4. Step 4: Simplify right side
    1,951.74x = 3,470,718.27
  5. Step 5: Solve for x
    x = 3,470,718.27/1,951.74
  6. Step 6: Final answer
    x = 1,778.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.