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Finding the Fourth Proportional to 1,643.40, 2,464.86 and 547.74

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Solution

The fourth proportional to 1,643.40, 2,464.86 and 547.74 is: 821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.40 : 2,464.86 = 547.74 : x
  2. Step 2: Convert to fraction form
    1,643.40/2,464.86 = 547.74/x
  3. Step 3: Cross multiply
    1,643.40x = 2,464.86 × 547.74
  4. Step 4: Simplify right side
    1,643.40x = 1,350,102.42
  5. Step 5: Solve for x
    x = 1,350,102.42/1,643.40
  6. Step 6: Final answer
    x = 821.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.