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Finding the Fourth Proportional to 2,011.42, 3,014.70 and 914.28

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Solution

The fourth proportional to 2,011.42, 3,014.70 and 914.28 is: 1,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.42 : 3,014.70 = 914.28 : x
  2. Step 2: Convert to fraction form
    2,011.42/3,014.70 = 914.28/x
  3. Step 3: Cross multiply
    2,011.42x = 3,014.70 × 914.28
  4. Step 4: Simplify right side
    2,011.42x = 2,756,279.92
  5. Step 5: Solve for x
    x = 2,756,279.92/2,011.42
  6. Step 6: Final answer
    x = 1,370.32

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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.