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Finding the Fourth Proportional to 1,712.06, 2,362.64 and 926.11

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Solution

The fourth proportional to 1,712.06, 2,362.64 and 926.11 is: 1,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.06 : 2,362.64 = 926.11 : x
  2. Step 2: Convert to fraction form
    1,712.06/2,362.64 = 926.11/x
  3. Step 3: Cross multiply
    1,712.06x = 2,362.64 × 926.11
  4. Step 4: Simplify right side
    1,712.06x = 2,188,064.53
  5. Step 5: Solve for x
    x = 2,188,064.53/1,712.06
  6. Step 6: Final answer
    x = 1,278.03

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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.