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Finding the Fourth Proportional to 2,036.53, 2,809.62 and 1,439.90

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Solution

The fourth proportional to 2,036.53, 2,809.62 and 1,439.90 is: 1,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.53 : 2,809.62 = 1,439.90 : x
  2. Step 2: Convert to fraction form
    2,036.53/2,809.62 = 1,439.90/x
  3. Step 3: Cross multiply
    2,036.53x = 2,809.62 × 1,439.90
  4. Step 4: Simplify right side
    2,036.53x = 4,045,571.84
  5. Step 5: Solve for x
    x = 4,045,571.84/2,036.53
  6. Step 6: Final answer
    x = 1,986.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.