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Finding the Fourth Proportional to 1,606.37, 2,215.82 and 976.46

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Solution

The fourth proportional to 1,606.37, 2,215.82 and 976.46 is: 1,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.37 : 2,215.82 = 976.46 : x
  2. Step 2: Convert to fraction form
    1,606.37/2,215.82 = 976.46/x
  3. Step 3: Cross multiply
    1,606.37x = 2,215.82 × 976.46
  4. Step 4: Simplify right side
    1,606.37x = 2,163,643.64
  5. Step 5: Solve for x
    x = 2,163,643.64/1,606.37
  6. Step 6: Final answer
    x = 1,346.92

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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.