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Finding the Fourth Proportional to 2,038.03, 3,052.99 and 940.89

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Solution

The fourth proportional to 2,038.03, 3,052.99 and 940.89 is: 1,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.03 : 3,052.99 = 940.89 : x
  2. Step 2: Convert to fraction form
    2,038.03/3,052.99 = 940.89/x
  3. Step 3: Cross multiply
    2,038.03x = 3,052.99 × 940.89
  4. Step 4: Simplify right side
    2,038.03x = 2,872,527.76
  5. Step 5: Solve for x
    x = 2,872,527.76/2,038.03
  6. Step 6: Final answer
    x = 1,409.46

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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.