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Finding the Fourth Proportional to 1,606.28, 2,216.75 and 976.71

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Solution

The fourth proportional to 1,606.28, 2,216.75 and 976.71 is: 1,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.28 : 2,216.75 = 976.71 : x
  2. Step 2: Convert to fraction form
    1,606.28/2,216.75 = 976.71/x
  3. Step 3: Cross multiply
    1,606.28x = 2,216.75 × 976.71
  4. Step 4: Simplify right side
    1,606.28x = 2,165,110.81
  5. Step 5: Solve for x
    x = 2,165,110.81/1,606.28
  6. Step 6: Final answer
    x = 1,347.90

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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.