Home / 1,509.21-2,082.66-846.03

Finding the Fourth Proportional to 1,509.21, 2,082.66 and 846.03

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Solution

The fourth proportional to 1,509.21, 2,082.66 and 846.03 is: 1,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.21 : 2,082.66 = 846.03 : x
  2. Step 2: Convert to fraction form
    1,509.21/2,082.66 = 846.03/x
  3. Step 3: Cross multiply
    1,509.21x = 2,082.66 × 846.03
  4. Step 4: Simplify right side
    1,509.21x = 1,761,992.84
  5. Step 5: Solve for x
    x = 1,761,992.84/1,509.21
  6. Step 6: Final answer
    x = 1,167.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.