Home / 2,109.02-3,163.80-647.90

Finding the Fourth Proportional to 2,109.02, 3,163.80 and 647.90

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Solution

The fourth proportional to 2,109.02, 3,163.80 and 647.90 is: 971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.02 : 3,163.80 = 647.90 : x
  2. Step 2: Convert to fraction form
    2,109.02/3,163.80 = 647.90/x
  3. Step 3: Cross multiply
    2,109.02x = 3,163.80 × 647.90
  4. Step 4: Simplify right side
    2,109.02x = 2,049,826.02
  5. Step 5: Solve for x
    x = 2,049,826.02/2,109.02
  6. Step 6: Final answer
    x = 971.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.