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Finding the Fourth Proportional to 1,429.44, 1,971.68 and 1,201.76

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Solution

The fourth proportional to 1,429.44, 1,971.68 and 1,201.76 is: 1,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.44 : 1,971.68 = 1,201.76 : x
  2. Step 2: Convert to fraction form
    1,429.44/1,971.68 = 1,201.76/x
  3. Step 3: Cross multiply
    1,429.44x = 1,971.68 × 1,201.76
  4. Step 4: Simplify right side
    1,429.44x = 2,369,486.16
  5. Step 5: Solve for x
    x = 2,369,486.16/1,429.44
  6. Step 6: Final answer
    x = 1,657.63

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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.