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Finding the Fourth Proportional to 1,643.56, 2,463.30 and 948.84

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Solution

The fourth proportional to 1,643.56, 2,463.30 and 948.84 is: 1,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.56 : 2,463.30 = 948.84 : x
  2. Step 2: Convert to fraction form
    1,643.56/2,463.30 = 948.84/x
  3. Step 3: Cross multiply
    1,643.56x = 2,463.30 × 948.84
  4. Step 4: Simplify right side
    1,643.56x = 2,337,277.57
  5. Step 5: Solve for x
    x = 2,337,277.57/1,643.56
  6. Step 6: Final answer
    x = 1,422.08

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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.