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Finding the Fourth Proportional to 2,419.80, 3,624.30 and 2,095.80

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Solution

The fourth proportional to 2,419.80, 3,624.30 and 2,095.80 is: 3,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.80 : 3,624.30 = 2,095.80 : x
  2. Step 2: Convert to fraction form
    2,419.80/3,624.30 = 2,095.80/x
  3. Step 3: Cross multiply
    2,419.80x = 3,624.30 × 2,095.80
  4. Step 4: Simplify right side
    2,419.80x = 7,595,807.94
  5. Step 5: Solve for x
    x = 7,595,807.94/2,419.80
  6. Step 6: Final answer
    x = 3,139.02

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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.