Home / 1,649.82-2,475.04-1,065.44

Finding the Fourth Proportional to 1,649.82, 2,475.04 and 1,065.44

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Solution

The fourth proportional to 1,649.82, 2,475.04 and 1,065.44 is: 1,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.82 : 2,475.04 = 1,065.44 : x
  2. Step 2: Convert to fraction form
    1,649.82/2,475.04 = 1,065.44/x
  3. Step 3: Cross multiply
    1,649.82x = 2,475.04 × 1,065.44
  4. Step 4: Simplify right side
    1,649.82x = 2,637,006.62
  5. Step 5: Solve for x
    x = 2,637,006.62/1,649.82
  6. Step 6: Final answer
    x = 1,598.36

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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.