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Finding the Fourth Proportional to 1,666.32, 2,496.76 and 886.28

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Solution

The fourth proportional to 1,666.32, 2,496.76 and 886.28 is: 1,327.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.32 : 2,496.76 = 886.28 : x
  2. Step 2: Convert to fraction form
    1,666.32/2,496.76 = 886.28/x
  3. Step 3: Cross multiply
    1,666.32x = 2,496.76 × 886.28
  4. Step 4: Simplify right side
    1,666.32x = 2,212,828.45
  5. Step 5: Solve for x
    x = 2,212,828.45/1,666.32
  6. Step 6: Final answer
    x = 1,327.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.