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Finding the Fourth Proportional to 1,748.03, 2,412.32 and 962.15

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Solution

The fourth proportional to 1,748.03, 2,412.32 and 962.15 is: 1,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.03 : 2,412.32 = 962.15 : x
  2. Step 2: Convert to fraction form
    1,748.03/2,412.32 = 962.15/x
  3. Step 3: Cross multiply
    1,748.03x = 2,412.32 × 962.15
  4. Step 4: Simplify right side
    1,748.03x = 2,320,996.82
  5. Step 5: Solve for x
    x = 2,320,996.82/1,748.03
  6. Step 6: Final answer
    x = 1,327.78

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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.