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Finding the Fourth Proportional to 1,641.42, 2,462.44 and 716.81

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Solution

The fourth proportional to 1,641.42, 2,462.44 and 716.81 is: 1,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.42 : 2,462.44 = 716.81 : x
  2. Step 2: Convert to fraction form
    1,641.42/2,462.44 = 716.81/x
  3. Step 3: Cross multiply
    1,641.42x = 2,462.44 × 716.81
  4. Step 4: Simplify right side
    1,641.42x = 1,765,101.62
  5. Step 5: Solve for x
    x = 1,765,101.62/1,641.42
  6. Step 6: Final answer
    x = 1,075.35

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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.