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Finding the Fourth Proportional to 1,749.82, 2,410.41 and 1,417.33

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Solution

The fourth proportional to 1,749.82, 2,410.41 and 1,417.33 is: 1,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.82 : 2,410.41 = 1,417.33 : x
  2. Step 2: Convert to fraction form
    1,749.82/2,410.41 = 1,417.33/x
  3. Step 3: Cross multiply
    1,749.82x = 2,410.41 × 1,417.33
  4. Step 4: Simplify right side
    1,749.82x = 3,416,346.41
  5. Step 5: Solve for x
    x = 3,416,346.41/1,749.82
  6. Step 6: Final answer
    x = 1,952.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.