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Finding the Fourth Proportional to 2,036.83, 2,809.28 and 1,408.40

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Solution

The fourth proportional to 2,036.83, 2,809.28 and 1,408.40 is: 1,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.83 : 2,809.28 = 1,408.40 : x
  2. Step 2: Convert to fraction form
    2,036.83/2,809.28 = 1,408.40/x
  3. Step 3: Cross multiply
    2,036.83x = 2,809.28 × 1,408.40
  4. Step 4: Simplify right side
    2,036.83x = 3,956,600.50
  5. Step 5: Solve for x
    x = 3,956,600.50/2,036.83
  6. Step 6: Final answer
    x = 1,942.53

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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.