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Finding the Fourth Proportional to 2,790.69, 4,186.75 and 1,970.57

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Solution

The fourth proportional to 2,790.69, 4,186.75 and 1,970.57 is: 2,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.69 : 4,186.75 = 1,970.57 : x
  2. Step 2: Convert to fraction form
    2,790.69/4,186.75 = 1,970.57/x
  3. Step 3: Cross multiply
    2,790.69x = 4,186.75 × 1,970.57
  4. Step 4: Simplify right side
    2,790.69x = 8,250,258.09
  5. Step 5: Solve for x
    x = 8,250,258.09/2,790.69
  6. Step 6: Final answer
    x = 2,956.35

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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.