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Finding the Fourth Proportional to 1,643.53, 2,465.36 and 410.94

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Solution

The fourth proportional to 1,643.53, 2,465.36 and 410.94 is: 616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.53 : 2,465.36 = 410.94 : x
  2. Step 2: Convert to fraction form
    1,643.53/2,465.36 = 410.94/x
  3. Step 3: Cross multiply
    1,643.53x = 2,465.36 × 410.94
  4. Step 4: Simplify right side
    1,643.53x = 1,013,122.23
  5. Step 5: Solve for x
    x = 1,013,122.23/1,643.53
  6. Step 6: Final answer
    x = 616.43

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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.