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Finding the Fourth Proportional to 2,038.23, 3,057.32 and 499.23

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Solution

The fourth proportional to 2,038.23, 3,057.32 and 499.23 is: 748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.23 : 3,057.32 = 499.23 : x
  2. Step 2: Convert to fraction form
    2,038.23/3,057.32 = 499.23/x
  3. Step 3: Cross multiply
    2,038.23x = 3,057.32 × 499.23
  4. Step 4: Simplify right side
    2,038.23x = 1,526,307.11
  5. Step 5: Solve for x
    x = 1,526,307.11/2,038.23
  6. Step 6: Final answer
    x = 748.84

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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.