Home / 1,534.20-2,302.42-669.16

Finding the Fourth Proportional to 1,534.20, 2,302.42 and 669.16

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Solution

The fourth proportional to 1,534.20, 2,302.42 and 669.16 is: 1,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.20 : 2,302.42 = 669.16 : x
  2. Step 2: Convert to fraction form
    1,534.20/2,302.42 = 669.16/x
  3. Step 3: Cross multiply
    1,534.20x = 2,302.42 × 669.16
  4. Step 4: Simplify right side
    1,534.20x = 1,540,687.37
  5. Step 5: Solve for x
    x = 1,540,687.37/1,534.20
  6. Step 6: Final answer
    x = 1,004.23

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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.