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Finding the Fourth Proportional to 2,902.40, 4,346.40 and 2,326.40

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Solution

The fourth proportional to 2,902.40, 4,346.40 and 2,326.40 is: 3,483.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.40 : 4,346.40 = 2,326.40 : x
  2. Step 2: Convert to fraction form
    2,902.40/4,346.40 = 2,326.40/x
  3. Step 3: Cross multiply
    2,902.40x = 4,346.40 × 2,326.40
  4. Step 4: Simplify right side
    2,902.40x = 10,111,464.96
  5. Step 5: Solve for x
    x = 10,111,464.96/2,902.40
  6. Step 6: Final answer
    x = 3,483.83

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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.