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Finding the Fourth Proportional to 1,646.33, 2,468.77 and 491.81

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Solution

The fourth proportional to 1,646.33, 2,468.77 and 491.81 is: 737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.33 : 2,468.77 = 491.81 : x
  2. Step 2: Convert to fraction form
    1,646.33/2,468.77 = 491.81/x
  3. Step 3: Cross multiply
    1,646.33x = 2,468.77 × 491.81
  4. Step 4: Simplify right side
    1,646.33x = 1,214,152.20
  5. Step 5: Solve for x
    x = 1,214,152.20/1,646.33
  6. Step 6: Final answer
    x = 737.49

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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.