Home / 2,052.02-3,077.77-665.22

Finding the Fourth Proportional to 2,052.02, 3,077.77 and 665.22

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Solution

The fourth proportional to 2,052.02, 3,077.77 and 665.22 is: 997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.02 : 3,077.77 = 665.22 : x
  2. Step 2: Convert to fraction form
    2,052.02/3,077.77 = 665.22/x
  3. Step 3: Cross multiply
    2,052.02x = 3,077.77 × 665.22
  4. Step 4: Simplify right side
    2,052.02x = 2,047,394.16
  5. Step 5: Solve for x
    x = 2,047,394.16/2,052.02
  6. Step 6: Final answer
    x = 997.75

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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.