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Finding the Fourth Proportional to 3,457, 4,770.68 and 1,885.06

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Solution

The fourth proportional to 3,457, 4,770.68 and 1,885.06 is: 2,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457 : 4,770.68 = 1,885.06 : x
  2. Step 2: Convert to fraction form
    3,457/4,770.68 = 1,885.06/x
  3. Step 3: Cross multiply
    3,457x = 4,770.68 × 1,885.06
  4. Step 4: Simplify right side
    3,457x = 8,993,018.04
  5. Step 5: Solve for x
    x = 8,993,018.04/3,457
  6. Step 6: Final answer
    x = 2,601.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.