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Finding the Fourth Proportional to 2,305.92, 3,464.64 and 1,822.08

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Solution

The fourth proportional to 2,305.92, 3,464.64 and 1,822.08 is: 2,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.92 : 3,464.64 = 1,822.08 : x
  2. Step 2: Convert to fraction form
    2,305.92/3,464.64 = 1,822.08/x
  3. Step 3: Cross multiply
    2,305.92x = 3,464.64 × 1,822.08
  4. Step 4: Simplify right side
    2,305.92x = 6,312,851.25
  5. Step 5: Solve for x
    x = 6,312,851.25/2,305.92
  6. Step 6: Final answer
    x = 2,737.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.