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Finding the Fourth Proportional to 2,312.07, 3,469.13 and 926.43

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Solution

The fourth proportional to 2,312.07, 3,469.13 and 926.43 is: 1,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.07 : 3,469.13 = 926.43 : x
  2. Step 2: Convert to fraction form
    2,312.07/3,469.13 = 926.43/x
  3. Step 3: Cross multiply
    2,312.07x = 3,469.13 × 926.43
  4. Step 4: Simplify right side
    2,312.07x = 3,213,901.47
  5. Step 5: Solve for x
    x = 3,213,901.47/2,312.07
  6. Step 6: Final answer
    x = 1,390.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.