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Finding the Fourth Proportional to 2,972.36, 4,102.16 and 1,713.47

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Solution

The fourth proportional to 2,972.36, 4,102.16 and 1,713.47 is: 2,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.36 : 4,102.16 = 1,713.47 : x
  2. Step 2: Convert to fraction form
    2,972.36/4,102.16 = 1,713.47/x
  3. Step 3: Cross multiply
    2,972.36x = 4,102.16 × 1,713.47
  4. Step 4: Simplify right side
    2,972.36x = 7,028,899.02
  5. Step 5: Solve for x
    x = 7,028,899.02/2,972.36
  6. Step 6: Final answer
    x = 2,364.76

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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.