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Finding the Fourth Proportional to 1,712.70, 2,362.20 and 1,293.12

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Solution

The fourth proportional to 1,712.70, 2,362.20 and 1,293.12 is: 1,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.70 : 2,362.20 = 1,293.12 : x
  2. Step 2: Convert to fraction form
    1,712.70/2,362.20 = 1,293.12/x
  3. Step 3: Cross multiply
    1,712.70x = 2,362.20 × 1,293.12
  4. Step 4: Simplify right side
    1,712.70x = 3,054,608.06
  5. Step 5: Solve for x
    x = 3,054,608.06/1,712.70
  6. Step 6: Final answer
    x = 1,783.50

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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.