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Finding the Fourth Proportional to 1,638.53, 2,460.94 and 1,404.80

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Solution

The fourth proportional to 1,638.53, 2,460.94 and 1,404.80 is: 2,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.53 : 2,460.94 = 1,404.80 : x
  2. Step 2: Convert to fraction form
    1,638.53/2,460.94 = 1,404.80/x
  3. Step 3: Cross multiply
    1,638.53x = 2,460.94 × 1,404.80
  4. Step 4: Simplify right side
    1,638.53x = 3,457,128.51
  5. Step 5: Solve for x
    x = 3,457,128.51/1,638.53
  6. Step 6: Final answer
    x = 2,109.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.