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Finding the Fourth Proportional to 1,643.28, 2,465.64 and 547.80

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Solution

The fourth proportional to 1,643.28, 2,465.64 and 547.80 is: 821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.28 : 2,465.64 = 547.80 : x
  2. Step 2: Convert to fraction form
    1,643.28/2,465.64 = 547.80/x
  3. Step 3: Cross multiply
    1,643.28x = 2,465.64 × 547.80
  4. Step 4: Simplify right side
    1,643.28x = 1,350,677.59
  5. Step 5: Solve for x
    x = 1,350,677.59/1,643.28
  6. Step 6: Final answer
    x = 821.94

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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.