Home / 2,102.25-3,154.46-933.06

Finding the Fourth Proportional to 2,102.25, 3,154.46 and 933.06

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Solution

The fourth proportional to 2,102.25, 3,154.46 and 933.06 is: 1,400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.25 : 3,154.46 = 933.06 : x
  2. Step 2: Convert to fraction form
    2,102.25/3,154.46 = 933.06/x
  3. Step 3: Cross multiply
    2,102.25x = 3,154.46 × 933.06
  4. Step 4: Simplify right side
    2,102.25x = 2,943,312.61
  5. Step 5: Solve for x
    x = 2,943,312.61/2,102.25
  6. Step 6: Final answer
    x = 1,400.07

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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.