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Finding the Fourth Proportional to 2,390.69, 3,585.28 and 809.10

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Solution

The fourth proportional to 2,390.69, 3,585.28 and 809.10 is: 1,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.69 : 3,585.28 = 809.10 : x
  2. Step 2: Convert to fraction form
    2,390.69/3,585.28 = 809.10/x
  3. Step 3: Cross multiply
    2,390.69x = 3,585.28 × 809.10
  4. Step 4: Simplify right side
    2,390.69x = 2,900,850.05
  5. Step 5: Solve for x
    x = 2,900,850.05/2,390.69
  6. Step 6: Final answer
    x = 1,213.39

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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.