Home / 2,089.02-3,131.97-701.53

Finding the Fourth Proportional to 2,089.02, 3,131.97 and 701.53

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Solution

The fourth proportional to 2,089.02, 3,131.97 and 701.53 is: 1,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.02 : 3,131.97 = 701.53 : x
  2. Step 2: Convert to fraction form
    2,089.02/3,131.97 = 701.53/x
  3. Step 3: Cross multiply
    2,089.02x = 3,131.97 × 701.53
  4. Step 4: Simplify right side
    2,089.02x = 2,197,160.45
  5. Step 5: Solve for x
    x = 2,197,160.45/2,089.02
  6. Step 6: Final answer
    x = 1,051.76

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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.