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Finding the Fourth Proportional to 2,097.95, 2,894.73 and 1,351.80

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Solution

The fourth proportional to 2,097.95, 2,894.73 and 1,351.80 is: 1,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.95 : 2,894.73 = 1,351.80 : x
  2. Step 2: Convert to fraction form
    2,097.95/2,894.73 = 1,351.80/x
  3. Step 3: Cross multiply
    2,097.95x = 2,894.73 × 1,351.80
  4. Step 4: Simplify right side
    2,097.95x = 3,913,096.01
  5. Step 5: Solve for x
    x = 3,913,096.01/2,097.95
  6. Step 6: Final answer
    x = 1,865.20

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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.