Home / 1,546.07-2,319.16-450.34

Finding the Fourth Proportional to 1,546.07, 2,319.16 and 450.34

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Solution

The fourth proportional to 1,546.07, 2,319.16 and 450.34 is: 675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.07 : 2,319.16 = 450.34 : x
  2. Step 2: Convert to fraction form
    1,546.07/2,319.16 = 450.34/x
  3. Step 3: Cross multiply
    1,546.07x = 2,319.16 × 450.34
  4. Step 4: Simplify right side
    1,546.07x = 1,044,410.51
  5. Step 5: Solve for x
    x = 1,044,410.51/1,546.07
  6. Step 6: Final answer
    x = 675.53

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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.