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Finding the Fourth Proportional to 2,129.51, 2,938.72 and 1,245.14

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Solution

The fourth proportional to 2,129.51, 2,938.72 and 1,245.14 is: 1,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.51 : 2,938.72 = 1,245.14 : x
  2. Step 2: Convert to fraction form
    2,129.51/2,938.72 = 1,245.14/x
  3. Step 3: Cross multiply
    2,129.51x = 2,938.72 × 1,245.14
  4. Step 4: Simplify right side
    2,129.51x = 3,659,096.90
  5. Step 5: Solve for x
    x = 3,659,096.90/2,129.51
  6. Step 6: Final answer
    x = 1,718.29

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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.