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Finding the Fourth Proportional to 1,783.65, 2,673.68 and 744.23

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Solution

The fourth proportional to 1,783.65, 2,673.68 and 744.23 is: 1,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.65 : 2,673.68 = 744.23 : x
  2. Step 2: Convert to fraction form
    1,783.65/2,673.68 = 744.23/x
  3. Step 3: Cross multiply
    1,783.65x = 2,673.68 × 744.23
  4. Step 4: Simplify right side
    1,783.65x = 1,989,832.87
  5. Step 5: Solve for x
    x = 1,989,832.87/1,783.65
  6. Step 6: Final answer
    x = 1,115.60

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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.