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Finding the Fourth Proportional to 2,028.53, 3,043.25 and 730

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Solution

The fourth proportional to 2,028.53, 3,043.25 and 730 is: 1,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.53 : 3,043.25 = 730 : x
  2. Step 2: Convert to fraction form
    2,028.53/3,043.25 = 730/x
  3. Step 3: Cross multiply
    2,028.53x = 3,043.25 × 730
  4. Step 4: Simplify right side
    2,028.53x = 2,221,572.50
  5. Step 5: Solve for x
    x = 2,221,572.50/2,028.53
  6. Step 6: Final answer
    x = 1,095.16

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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.