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Finding the Fourth Proportional to 1,638.02, 2,457.02 and 405.41

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Solution

The fourth proportional to 1,638.02, 2,457.02 and 405.41 is: 608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.02 : 2,457.02 = 405.41 : x
  2. Step 2: Convert to fraction form
    1,638.02/2,457.02 = 405.41/x
  3. Step 3: Cross multiply
    1,638.02x = 2,457.02 × 405.41
  4. Step 4: Simplify right side
    1,638.02x = 996,089.21
  5. Step 5: Solve for x
    x = 996,089.21/1,638.02
  6. Step 6: Final answer
    x = 608.10

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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.