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Finding the Fourth Proportional to 2,469.95, 3,705.02 and 1,082.60

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Solution

The fourth proportional to 2,469.95, 3,705.02 and 1,082.60 is: 1,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.95 : 3,705.02 = 1,082.60 : x
  2. Step 2: Convert to fraction form
    2,469.95/3,705.02 = 1,082.60/x
  3. Step 3: Cross multiply
    2,469.95x = 3,705.02 × 1,082.60
  4. Step 4: Simplify right side
    2,469.95x = 4,011,030.71
  5. Step 5: Solve for x
    x = 4,011,030.71/2,469.95
  6. Step 6: Final answer
    x = 1,623.94

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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.