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Finding the Fourth Proportional to 2,356.84, 3,529.82 and 1,832.60

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Solution

The fourth proportional to 2,356.84, 3,529.82 and 1,832.60 is: 2,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.84 : 3,529.82 = 1,832.60 : x
  2. Step 2: Convert to fraction form
    2,356.84/3,529.82 = 1,832.60/x
  3. Step 3: Cross multiply
    2,356.84x = 3,529.82 × 1,832.60
  4. Step 4: Simplify right side
    2,356.84x = 6,468,748.13
  5. Step 5: Solve for x
    x = 6,468,748.13/2,356.84
  6. Step 6: Final answer
    x = 2,744.67

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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.