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Finding the Fourth Proportional to 1,665.51, 2,298.63 and 966.88

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Solution

The fourth proportional to 1,665.51, 2,298.63 and 966.88 is: 1,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.51 : 2,298.63 = 966.88 : x
  2. Step 2: Convert to fraction form
    1,665.51/2,298.63 = 966.88/x
  3. Step 3: Cross multiply
    1,665.51x = 2,298.63 × 966.88
  4. Step 4: Simplify right side
    1,665.51x = 2,222,499.37
  5. Step 5: Solve for x
    x = 2,222,499.37/1,665.51
  6. Step 6: Final answer
    x = 1,334.43

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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.