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Finding the Fourth Proportional to 2,309.80, 3,459.30 and 2,263.40

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Solution

The fourth proportional to 2,309.80, 3,459.30 and 2,263.40 is: 3,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.80 : 3,459.30 = 2,263.40 : x
  2. Step 2: Convert to fraction form
    2,309.80/3,459.30 = 2,263.40/x
  3. Step 3: Cross multiply
    2,309.80x = 3,459.30 × 2,263.40
  4. Step 4: Simplify right side
    2,309.80x = 7,829,779.62
  5. Step 5: Solve for x
    x = 7,829,779.62/2,309.80
  6. Step 6: Final answer
    x = 3,389.81

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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.