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Finding the Fourth Proportional to 1,489.34, 2,055.63 and 964.46

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Solution

The fourth proportional to 1,489.34, 2,055.63 and 964.46 is: 1,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.34 : 2,055.63 = 964.46 : x
  2. Step 2: Convert to fraction form
    1,489.34/2,055.63 = 964.46/x
  3. Step 3: Cross multiply
    1,489.34x = 2,055.63 × 964.46
  4. Step 4: Simplify right side
    1,489.34x = 1,982,562.63
  5. Step 5: Solve for x
    x = 1,982,562.63/1,489.34
  6. Step 6: Final answer
    x = 1,331.17

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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.