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Finding the Fourth Proportional to 1,643.97, 2,465.23 and 617.25

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Solution

The fourth proportional to 1,643.97, 2,465.23 and 617.25 is: 925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.97 : 2,465.23 = 617.25 : x
  2. Step 2: Convert to fraction form
    1,643.97/2,465.23 = 617.25/x
  3. Step 3: Cross multiply
    1,643.97x = 2,465.23 × 617.25
  4. Step 4: Simplify right side
    1,643.97x = 1,521,663.22
  5. Step 5: Solve for x
    x = 1,521,663.22/1,643.97
  6. Step 6: Final answer
    x = 925.60

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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.