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Finding the Fourth Proportional to 1,730.11, 2,595.14 and 805.15

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Solution

The fourth proportional to 1,730.11, 2,595.14 and 805.15 is: 1,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.11 : 2,595.14 = 805.15 : x
  2. Step 2: Convert to fraction form
    1,730.11/2,595.14 = 805.15/x
  3. Step 3: Cross multiply
    1,730.11x = 2,595.14 × 805.15
  4. Step 4: Simplify right side
    1,730.11x = 2,089,471.91
  5. Step 5: Solve for x
    x = 2,089,471.91/1,730.11
  6. Step 6: Final answer
    x = 1,207.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.