Home / 1,745.02-2,616.31-649.09

Finding the Fourth Proportional to 1,745.02, 2,616.31 and 649.09

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Solution

The fourth proportional to 1,745.02, 2,616.31 and 649.09 is: 973.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.02 : 2,616.31 = 649.09 : x
  2. Step 2: Convert to fraction form
    1,745.02/2,616.31 = 649.09/x
  3. Step 3: Cross multiply
    1,745.02x = 2,616.31 × 649.09
  4. Step 4: Simplify right side
    1,745.02x = 1,698,220.66
  5. Step 5: Solve for x
    x = 1,698,220.66/1,745.02
  6. Step 6: Final answer
    x = 973.18

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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.