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Finding the Fourth Proportional to 2,894.37, 4,342.20 and 946.56

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Solution

The fourth proportional to 2,894.37, 4,342.20 and 946.56 is: 1,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.37 : 4,342.20 = 946.56 : x
  2. Step 2: Convert to fraction form
    2,894.37/4,342.20 = 946.56/x
  3. Step 3: Cross multiply
    2,894.37x = 4,342.20 × 946.56
  4. Step 4: Simplify right side
    2,894.37x = 4,110,152.83
  5. Step 5: Solve for x
    x = 4,110,152.83/2,894.37
  6. Step 6: Final answer
    x = 1,420.05

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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.