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Finding the Fourth Proportional to 2,038.04, 3,057.06 and 499.04

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Solution

The fourth proportional to 2,038.04, 3,057.06 and 499.04 is: 748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.04 : 3,057.06 = 499.04 : x
  2. Step 2: Convert to fraction form
    2,038.04/3,057.06 = 499.04/x
  3. Step 3: Cross multiply
    2,038.04x = 3,057.06 × 499.04
  4. Step 4: Simplify right side
    2,038.04x = 1,525,595.22
  5. Step 5: Solve for x
    x = 1,525,595.22/2,038.04
  6. Step 6: Final answer
    x = 748.56

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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.