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Finding the Fourth Proportional to 1,746, 2,618.28 and 575.64

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Solution

The fourth proportional to 1,746, 2,618.28 and 575.64 is: 863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746 : 2,618.28 = 575.64 : x
  2. Step 2: Convert to fraction form
    1,746/2,618.28 = 575.64/x
  3. Step 3: Cross multiply
    1,746x = 2,618.28 × 575.64
  4. Step 4: Simplify right side
    1,746x = 1,507,186.70
  5. Step 5: Solve for x
    x = 1,507,186.70/1,746
  6. Step 6: Final answer
    x = 863.22

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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.