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Finding the Fourth Proportional to 2,956.06, 4,078.07 and 1,946.47

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Solution

The fourth proportional to 2,956.06, 4,078.07 and 1,946.47 is: 2,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.06 : 4,078.07 = 1,946.47 : x
  2. Step 2: Convert to fraction form
    2,956.06/4,078.07 = 1,946.47/x
  3. Step 3: Cross multiply
    2,956.06x = 4,078.07 × 1,946.47
  4. Step 4: Simplify right side
    2,956.06x = 7,937,810.79
  5. Step 5: Solve for x
    x = 7,937,810.79/2,956.06
  6. Step 6: Final answer
    x = 2,685.27

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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.