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Finding the Fourth Proportional to 2,085.37, 3,127.95 and 525.38

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Solution

The fourth proportional to 2,085.37, 3,127.95 and 525.38 is: 788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.37 : 3,127.95 = 525.38 : x
  2. Step 2: Convert to fraction form
    2,085.37/3,127.95 = 525.38/x
  3. Step 3: Cross multiply
    2,085.37x = 3,127.95 × 525.38
  4. Step 4: Simplify right side
    2,085.37x = 1,643,346.73
  5. Step 5: Solve for x
    x = 1,643,346.73/2,085.37
  6. Step 6: Final answer
    x = 788.03

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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.