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Finding the Fourth Proportional to 2,245.84, 3,370.30 and 785

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Solution

The fourth proportional to 2,245.84, 3,370.30 and 785 is: 1,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.84 : 3,370.30 = 785 : x
  2. Step 2: Convert to fraction form
    2,245.84/3,370.30 = 785/x
  3. Step 3: Cross multiply
    2,245.84x = 3,370.30 × 785
  4. Step 4: Simplify right side
    2,245.84x = 2,645,685.50
  5. Step 5: Solve for x
    x = 2,645,685.50/2,245.84
  6. Step 6: Final answer
    x = 1,178.04

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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.