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Finding the Fourth Proportional to 1,627.71, 2,246.27 and 929.09

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Solution

The fourth proportional to 1,627.71, 2,246.27 and 929.09 is: 1,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.71 : 2,246.27 = 929.09 : x
  2. Step 2: Convert to fraction form
    1,627.71/2,246.27 = 929.09/x
  3. Step 3: Cross multiply
    1,627.71x = 2,246.27 × 929.09
  4. Step 4: Simplify right side
    1,627.71x = 2,086,971.12
  5. Step 5: Solve for x
    x = 2,086,971.12/1,627.71
  6. Step 6: Final answer
    x = 1,282.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.