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Finding the Fourth Proportional to 2,326.40, 3,486.72 and 1,399.04

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Solution

The fourth proportional to 2,326.40, 3,486.72 and 1,399.04 is: 2,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.40 : 3,486.72 = 1,399.04 : x
  2. Step 2: Convert to fraction form
    2,326.40/3,486.72 = 1,399.04/x
  3. Step 3: Cross multiply
    2,326.40x = 3,486.72 × 1,399.04
  4. Step 4: Simplify right side
    2,326.40x = 4,878,060.75
  5. Step 5: Solve for x
    x = 4,878,060.75/2,326.40
  6. Step 6: Final answer
    x = 2,096.83

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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.