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Finding the Fourth Proportional to 2,085.90, 3,128.73 and 525.88

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Solution

The fourth proportional to 2,085.90, 3,128.73 and 525.88 is: 788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.90 : 3,128.73 = 525.88 : x
  2. Step 2: Convert to fraction form
    2,085.90/3,128.73 = 525.88/x
  3. Step 3: Cross multiply
    2,085.90x = 3,128.73 × 525.88
  4. Step 4: Simplify right side
    2,085.90x = 1,645,336.53
  5. Step 5: Solve for x
    x = 1,645,336.53/2,085.90
  6. Step 6: Final answer
    x = 788.79

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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.