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Finding the Fourth Proportional to 2,346.94, 3,520.40 and 1,906.10

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Solution

The fourth proportional to 2,346.94, 3,520.40 and 1,906.10 is: 2,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.94 : 3,520.40 = 1,906.10 : x
  2. Step 2: Convert to fraction form
    2,346.94/3,520.40 = 1,906.10/x
  3. Step 3: Cross multiply
    2,346.94x = 3,520.40 × 1,906.10
  4. Step 4: Simplify right side
    2,346.94x = 6,710,207.31
  5. Step 5: Solve for x
    x = 6,710,207.31/2,346.94
  6. Step 6: Final answer
    x = 2,859.13

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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.