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Finding the Fourth Proportional to 2,030.25, 3,045.38 and 491.25

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Solution

The fourth proportional to 2,030.25, 3,045.38 and 491.25 is: 736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.25 : 3,045.38 = 491.25 : x
  2. Step 2: Convert to fraction form
    2,030.25/3,045.38 = 491.25/x
  3. Step 3: Cross multiply
    2,030.25x = 3,045.38 × 491.25
  4. Step 4: Simplify right side
    2,030.25x = 1,496,040.47
  5. Step 5: Solve for x
    x = 1,496,040.47/2,030.25
  6. Step 6: Final answer
    x = 736.88

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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.