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Finding the Fourth Proportional to 1,649.22, 2,473.70 and 416.64

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Solution

The fourth proportional to 1,649.22, 2,473.70 and 416.64 is: 624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.22 : 2,473.70 = 416.64 : x
  2. Step 2: Convert to fraction form
    1,649.22/2,473.70 = 416.64/x
  3. Step 3: Cross multiply
    1,649.22x = 2,473.70 × 416.64
  4. Step 4: Simplify right side
    1,649.22x = 1,030,642.37
  5. Step 5: Solve for x
    x = 1,030,642.37/1,649.22
  6. Step 6: Final answer
    x = 624.93

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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.