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Finding the Fourth Proportional to 2,769.08, 3,821.40 and 1,574

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Solution

The fourth proportional to 2,769.08, 3,821.40 and 1,574 is: 2,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.08 : 3,821.40 = 1,574 : x
  2. Step 2: Convert to fraction form
    2,769.08/3,821.40 = 1,574/x
  3. Step 3: Cross multiply
    2,769.08x = 3,821.40 × 1,574
  4. Step 4: Simplify right side
    2,769.08x = 6,014,883.60
  5. Step 5: Solve for x
    x = 6,014,883.60/2,769.08
  6. Step 6: Final answer
    x = 2,172.16

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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.