Home / 2,032.02-3,046.01-1,107.14

Finding the Fourth Proportional to 2,032.02, 3,046.01 and 1,107.14

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Solution

The fourth proportional to 2,032.02, 3,046.01 and 1,107.14 is: 1,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.02 : 3,046.01 = 1,107.14 : x
  2. Step 2: Convert to fraction form
    2,032.02/3,046.01 = 1,107.14/x
  3. Step 3: Cross multiply
    2,032.02x = 3,046.01 × 1,107.14
  4. Step 4: Simplify right side
    2,032.02x = 3,372,338.75
  5. Step 5: Solve for x
    x = 3,372,338.75/2,032.02
  6. Step 6: Final answer
    x = 1,659.60

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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.