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Finding the Fourth Proportional to 2,410.84, 3,613.83 and 1,832.50

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Solution

The fourth proportional to 2,410.84, 3,613.83 and 1,832.50 is: 2,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.84 : 3,613.83 = 1,832.50 : x
  2. Step 2: Convert to fraction form
    2,410.84/3,613.83 = 1,832.50/x
  3. Step 3: Cross multiply
    2,410.84x = 3,613.83 × 1,832.50
  4. Step 4: Simplify right side
    2,410.84x = 6,622,343.48
  5. Step 5: Solve for x
    x = 6,622,343.48/2,410.84
  6. Step 6: Final answer
    x = 2,746.90

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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.