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Finding the Fourth Proportional to 1,534.37, 2,302.10 and 668.75

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Solution

The fourth proportional to 1,534.37, 2,302.10 and 668.75 is: 1,003.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.37 : 2,302.10 = 668.75 : x
  2. Step 2: Convert to fraction form
    1,534.37/2,302.10 = 668.75/x
  3. Step 3: Cross multiply
    1,534.37x = 2,302.10 × 668.75
  4. Step 4: Simplify right side
    1,534.37x = 1,539,529.38
  5. Step 5: Solve for x
    x = 1,539,529.38/1,534.37
  6. Step 6: Final answer
    x = 1,003.36

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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.