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Finding the Fourth Proportional to 2,143.10, 3,214.65 and 603.90

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Solution

The fourth proportional to 2,143.10, 3,214.65 and 603.90 is: 905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.10 : 3,214.65 = 603.90 : x
  2. Step 2: Convert to fraction form
    2,143.10/3,214.65 = 603.90/x
  3. Step 3: Cross multiply
    2,143.10x = 3,214.65 × 603.90
  4. Step 4: Simplify right side
    2,143.10x = 1,941,327.14
  5. Step 5: Solve for x
    x = 1,941,327.14/2,143.10
  6. Step 6: Final answer
    x = 905.85

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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.