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Finding the Fourth Proportional to 1,954.46, 2,932.00 and 655.63

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Solution

The fourth proportional to 1,954.46, 2,932.00 and 655.63 is: 983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.46 : 2,932.00 = 655.63 : x
  2. Step 2: Convert to fraction form
    1,954.46/2,932.00 = 655.63/x
  3. Step 3: Cross multiply
    1,954.46x = 2,932.00 × 655.63
  4. Step 4: Simplify right side
    1,954.46x = 1,922,304.16
  5. Step 5: Solve for x
    x = 1,922,304.16/1,954.46
  6. Step 6: Final answer
    x = 983.55

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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.