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Finding the Fourth Proportional to 2,004.15, 3,000.15 and 1,457.40

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Solution

The fourth proportional to 2,004.15, 3,000.15 and 1,457.40 is: 2,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.15 : 3,000.15 = 1,457.40 : x
  2. Step 2: Convert to fraction form
    2,004.15/3,000.15 = 1,457.40/x
  3. Step 3: Cross multiply
    2,004.15x = 3,000.15 × 1,457.40
  4. Step 4: Simplify right side
    2,004.15x = 4,372,418.61
  5. Step 5: Solve for x
    x = 4,372,418.61/2,004.15
  6. Step 6: Final answer
    x = 2,181.68

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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.