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Finding the Fourth Proportional to 1,546.32, 2,319.84 and 450.81

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Solution

The fourth proportional to 1,546.32, 2,319.84 and 450.81 is: 676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.32 : 2,319.84 = 450.81 : x
  2. Step 2: Convert to fraction form
    1,546.32/2,319.84 = 450.81/x
  3. Step 3: Cross multiply
    1,546.32x = 2,319.84 × 450.81
  4. Step 4: Simplify right side
    1,546.32x = 1,045,807.07
  5. Step 5: Solve for x
    x = 1,045,807.07/1,546.32
  6. Step 6: Final answer
    x = 676.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.