Home / 1,649.04-2,473.38-416.45

Finding the Fourth Proportional to 1,649.04, 2,473.38 and 416.45

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Solution

The fourth proportional to 1,649.04, 2,473.38 and 416.45 is: 624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.04 : 2,473.38 = 416.45 : x
  2. Step 2: Convert to fraction form
    1,649.04/2,473.38 = 416.45/x
  3. Step 3: Cross multiply
    1,649.04x = 2,473.38 × 416.45
  4. Step 4: Simplify right side
    1,649.04x = 1,030,039.10
  5. Step 5: Solve for x
    x = 1,030,039.10/1,649.04
  6. Step 6: Final answer
    x = 624.63

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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.