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Finding the Fourth Proportional to 1,730.39, 2,594.13 and 805.48

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Solution

The fourth proportional to 1,730.39, 2,594.13 and 805.48 is: 1,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.39 : 2,594.13 = 805.48 : x
  2. Step 2: Convert to fraction form
    1,730.39/2,594.13 = 805.48/x
  3. Step 3: Cross multiply
    1,730.39x = 2,594.13 × 805.48
  4. Step 4: Simplify right side
    1,730.39x = 2,089,519.83
  5. Step 5: Solve for x
    x = 2,089,519.83/1,730.39
  6. Step 6: Final answer
    x = 1,207.54

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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.