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Finding the Fourth Proportional to 2,835.57, 3,911.81 and 1,655.94

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Solution

The fourth proportional to 2,835.57, 3,911.81 and 1,655.94 is: 2,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.57 : 3,911.81 = 1,655.94 : x
  2. Step 2: Convert to fraction form
    2,835.57/3,911.81 = 1,655.94/x
  3. Step 3: Cross multiply
    2,835.57x = 3,911.81 × 1,655.94
  4. Step 4: Simplify right side
    2,835.57x = 6,477,708.73
  5. Step 5: Solve for x
    x = 6,477,708.73/2,835.57
  6. Step 6: Final answer
    x = 2,284.45

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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.