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Finding the Fourth Proportional to 1,757.34, 2,425.50 and 1,462.32

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Solution

The fourth proportional to 1,757.34, 2,425.50 and 1,462.32 is: 2,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.34 : 2,425.50 = 1,462.32 : x
  2. Step 2: Convert to fraction form
    1,757.34/2,425.50 = 1,462.32/x
  3. Step 3: Cross multiply
    1,757.34x = 2,425.50 × 1,462.32
  4. Step 4: Simplify right side
    1,757.34x = 3,546,857.16
  5. Step 5: Solve for x
    x = 3,546,857.16/1,757.34
  6. Step 6: Final answer
    x = 2,018.31

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