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Finding the Fourth Proportional to 1,846.32, 2,765.16 and 1,384.56

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Solution

The fourth proportional to 1,846.32, 2,765.16 and 1,384.56 is: 2,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.32 : 2,765.16 = 1,384.56 : x
  2. Step 2: Convert to fraction form
    1,846.32/2,765.16 = 1,384.56/x
  3. Step 3: Cross multiply
    1,846.32x = 2,765.16 × 1,384.56
  4. Step 4: Simplify right side
    1,846.32x = 3,828,529.93
  5. Step 5: Solve for x
    x = 3,828,529.93/1,846.32
  6. Step 6: Final answer
    x = 2,073.60

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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.