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Finding the Fourth Proportional to 1,638.57, 2,457.90 and 405.96

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Solution

The fourth proportional to 1,638.57, 2,457.90 and 405.96 is: 608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.57 : 2,457.90 = 405.96 : x
  2. Step 2: Convert to fraction form
    1,638.57/2,457.90 = 405.96/x
  3. Step 3: Cross multiply
    1,638.57x = 2,457.90 × 405.96
  4. Step 4: Simplify right side
    1,638.57x = 997,809.08
  5. Step 5: Solve for x
    x = 997,809.08/1,638.57
  6. Step 6: Final answer
    x = 608.95

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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.