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Finding the Fourth Proportional to 1,825.76, 2,752.14 and 1,670.09

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Solution

The fourth proportional to 1,825.76, 2,752.14 and 1,670.09 is: 2,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.76 : 2,752.14 = 1,670.09 : x
  2. Step 2: Convert to fraction form
    1,825.76/2,752.14 = 1,670.09/x
  3. Step 3: Cross multiply
    1,825.76x = 2,752.14 × 1,670.09
  4. Step 4: Simplify right side
    1,825.76x = 4,596,313.99
  5. Step 5: Solve for x
    x = 4,596,313.99/1,825.76
  6. Step 6: Final answer
    x = 2,517.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.