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Finding the Fourth Proportional to 2,868.74, 4,303.79 and 894.27

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Solution

The fourth proportional to 2,868.74, 4,303.79 and 894.27 is: 1,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.74 : 4,303.79 = 894.27 : x
  2. Step 2: Convert to fraction form
    2,868.74/4,303.79 = 894.27/x
  3. Step 3: Cross multiply
    2,868.74x = 4,303.79 × 894.27
  4. Step 4: Simplify right side
    2,868.74x = 3,848,767.82
  5. Step 5: Solve for x
    x = 3,848,767.82/2,868.74
  6. Step 6: Final answer
    x = 1,341.62

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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.