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Finding the Fourth Proportional to 2,145.40, 3,218.10 and 912.40

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Solution

The fourth proportional to 2,145.40, 3,218.10 and 912.40 is: 1,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.40 : 3,218.10 = 912.40 : x
  2. Step 2: Convert to fraction form
    2,145.40/3,218.10 = 912.40/x
  3. Step 3: Cross multiply
    2,145.40x = 3,218.10 × 912.40
  4. Step 4: Simplify right side
    2,145.40x = 2,936,194.44
  5. Step 5: Solve for x
    x = 2,936,194.44/2,145.40
  6. Step 6: Final answer
    x = 1,368.60

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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.