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Finding the Fourth Proportional to 1,784.44, 2,473.03 and 1,757.10

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Solution

The fourth proportional to 1,784.44, 2,473.03 and 1,757.10 is: 2,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.44 : 2,473.03 = 1,757.10 : x
  2. Step 2: Convert to fraction form
    1,784.44/2,473.03 = 1,757.10/x
  3. Step 3: Cross multiply
    1,784.44x = 2,473.03 × 1,757.10
  4. Step 4: Simplify right side
    1,784.44x = 4,345,356.62
  5. Step 5: Solve for x
    x = 4,345,356.62/1,784.44
  6. Step 6: Final answer
    x = 2,435.14

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.