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Finding the Fourth Proportional to 2,012.94, 3,019.06 and 917.04

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Solution

The fourth proportional to 2,012.94, 3,019.06 and 917.04 is: 1,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.94 : 3,019.06 = 917.04 : x
  2. Step 2: Convert to fraction form
    2,012.94/3,019.06 = 917.04/x
  3. Step 3: Cross multiply
    2,012.94x = 3,019.06 × 917.04
  4. Step 4: Simplify right side
    2,012.94x = 2,768,598.78
  5. Step 5: Solve for x
    x = 2,768,598.78/2,012.94
  6. Step 6: Final answer
    x = 1,375.40

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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.