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Finding the Fourth Proportional to 2,034.59, 2,808.13 and 1,289.42

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Solution

The fourth proportional to 2,034.59, 2,808.13 and 1,289.42 is: 1,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.59 : 2,808.13 = 1,289.42 : x
  2. Step 2: Convert to fraction form
    2,034.59/2,808.13 = 1,289.42/x
  3. Step 3: Cross multiply
    2,034.59x = 2,808.13 × 1,289.42
  4. Step 4: Simplify right side
    2,034.59x = 3,620,856.48
  5. Step 5: Solve for x
    x = 3,620,856.48/2,034.59
  6. Step 6: Final answer
    x = 1,779.65

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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.