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Finding the Fourth Proportional to 2,036.49, 2,809.26 and 1,290.18

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Solution

The fourth proportional to 2,036.49, 2,809.26 and 1,290.18 is: 1,779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.49 : 2,809.26 = 1,290.18 : x
  2. Step 2: Convert to fraction form
    2,036.49/2,809.26 = 1,290.18/x
  3. Step 3: Cross multiply
    2,036.49x = 2,809.26 × 1,290.18
  4. Step 4: Simplify right side
    2,036.49x = 3,624,451.07
  5. Step 5: Solve for x
    x = 3,624,451.07/2,036.49
  6. Step 6: Final answer
    x = 1,779.75

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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.