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Finding the Fourth Proportional to 2,972.42, 4,101.72 and 1,713.18

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Solution

The fourth proportional to 2,972.42, 4,101.72 and 1,713.18 is: 2,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.42 : 4,101.72 = 1,713.18 : x
  2. Step 2: Convert to fraction form
    2,972.42/4,101.72 = 1,713.18/x
  3. Step 3: Cross multiply
    2,972.42x = 4,101.72 × 1,713.18
  4. Step 4: Simplify right side
    2,972.42x = 7,026,984.67
  5. Step 5: Solve for x
    x = 7,026,984.67/2,972.42
  6. Step 6: Final answer
    x = 2,364.06

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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.