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Finding the Fourth Proportional to 1,606.75, 2,217.47 and 1,009.34

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Solution

The fourth proportional to 1,606.75, 2,217.47 and 1,009.34 is: 1,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.75 : 2,217.47 = 1,009.34 : x
  2. Step 2: Convert to fraction form
    1,606.75/2,217.47 = 1,009.34/x
  3. Step 3: Cross multiply
    1,606.75x = 2,217.47 × 1,009.34
  4. Step 4: Simplify right side
    1,606.75x = 2,238,181.17
  5. Step 5: Solve for x
    x = 2,238,181.17/1,606.75
  6. Step 6: Final answer
    x = 1,392.99

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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.