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Finding the Fourth Proportional to 2,769.59, 3,820.08 and 1,775.15

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Solution

The fourth proportional to 2,769.59, 3,820.08 and 1,775.15 is: 2,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.59 : 3,820.08 = 1,775.15 : x
  2. Step 2: Convert to fraction form
    2,769.59/3,820.08 = 1,775.15/x
  3. Step 3: Cross multiply
    2,769.59x = 3,820.08 × 1,775.15
  4. Step 4: Simplify right side
    2,769.59x = 6,781,206.14
  5. Step 5: Solve for x
    x = 6,781,206.14/2,769.59
  6. Step 6: Final answer
    x = 2,448.45

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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.