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Finding the Fourth Proportional to 2,972.58, 4,102.10 and 1,713.56

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Solution

The fourth proportional to 2,972.58, 4,102.10 and 1,713.56 is: 2,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.58 : 4,102.10 = 1,713.56 : x
  2. Step 2: Convert to fraction form
    2,972.58/4,102.10 = 1,713.56/x
  3. Step 3: Cross multiply
    2,972.58x = 4,102.10 × 1,713.56
  4. Step 4: Simplify right side
    2,972.58x = 7,029,194.48
  5. Step 5: Solve for x
    x = 7,029,194.48/2,972.58
  6. Step 6: Final answer
    x = 2,364.68

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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.