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Finding the Fourth Proportional to 2,172.64, 2,999.28 and 1,240.96

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Solution

The fourth proportional to 2,172.64, 2,999.28 and 1,240.96 is: 1,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.64 : 2,999.28 = 1,240.96 : x
  2. Step 2: Convert to fraction form
    2,172.64/2,999.28 = 1,240.96/x
  3. Step 3: Cross multiply
    2,172.64x = 2,999.28 × 1,240.96
  4. Step 4: Simplify right side
    2,172.64x = 3,721,986.51
  5. Step 5: Solve for x
    x = 3,721,986.51/2,172.64
  6. Step 6: Final answer
    x = 1,713.12

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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.