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Finding the Fourth Proportional to 1,712.07, 2,362.65 and 926.12

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Solution

The fourth proportional to 1,712.07, 2,362.65 and 926.12 is: 1,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.07 : 2,362.65 = 926.12 : x
  2. Step 2: Convert to fraction form
    1,712.07/2,362.65 = 926.12/x
  3. Step 3: Cross multiply
    1,712.07x = 2,362.65 × 926.12
  4. Step 4: Simplify right side
    1,712.07x = 2,188,085.60
  5. Step 5: Solve for x
    x = 2,188,085.60/1,712.07
  6. Step 6: Final answer
    x = 1,278.04

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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.