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Finding the Fourth Proportional to 2,972.67, 4,102.14 and 1,713.95

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Solution

The fourth proportional to 2,972.67, 4,102.14 and 1,713.95 is: 2,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.67 : 4,102.14 = 1,713.95 : x
  2. Step 2: Convert to fraction form
    2,972.67/4,102.14 = 1,713.95/x
  3. Step 3: Cross multiply
    2,972.67x = 4,102.14 × 1,713.95
  4. Step 4: Simplify right side
    2,972.67x = 7,030,842.34
  5. Step 5: Solve for x
    x = 7,030,842.34/2,972.67
  6. Step 6: Final answer
    x = 2,365.16

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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.