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Finding the Fourth Proportional to 2,035.42, 2,809.41 and 1,289.74

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Solution

The fourth proportional to 2,035.42, 2,809.41 and 1,289.74 is: 1,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.42 : 2,809.41 = 1,289.74 : x
  2. Step 2: Convert to fraction form
    2,035.42/2,809.41 = 1,289.74/x
  3. Step 3: Cross multiply
    2,035.42x = 2,809.41 × 1,289.74
  4. Step 4: Simplify right side
    2,035.42x = 3,623,408.45
  5. Step 5: Solve for x
    x = 3,623,408.45/2,035.42
  6. Step 6: Final answer
    x = 1,780.18

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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.