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Finding the Fourth Proportional to 1,842.06, 2,762.67 and 525.78

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Solution

The fourth proportional to 1,842.06, 2,762.67 and 525.78 is: 788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.06 : 2,762.67 = 525.78 : x
  2. Step 2: Convert to fraction form
    1,842.06/2,762.67 = 525.78/x
  3. Step 3: Cross multiply
    1,842.06x = 2,762.67 × 525.78
  4. Step 4: Simplify right side
    1,842.06x = 1,452,556.63
  5. Step 5: Solve for x
    x = 1,452,556.63/1,842.06
  6. Step 6: Final answer
    x = 788.55

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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.