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Finding the Fourth Proportional to 2,030.48, 3,045.72 and 491.48

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Solution

The fourth proportional to 2,030.48, 3,045.72 and 491.48 is: 737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.48 : 3,045.72 = 491.48 : x
  2. Step 2: Convert to fraction form
    2,030.48/3,045.72 = 491.48/x
  3. Step 3: Cross multiply
    2,030.48x = 3,045.72 × 491.48
  4. Step 4: Simplify right side
    2,030.48x = 1,496,910.47
  5. Step 5: Solve for x
    x = 1,496,910.47/2,030.48
  6. Step 6: Final answer
    x = 737.22

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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.