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Finding the Fourth Proportional to 3,280.72, 4,526.04 and 2,038

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Solution

The fourth proportional to 3,280.72, 4,526.04 and 2,038 is: 2,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.72 : 4,526.04 = 2,038 : x
  2. Step 2: Convert to fraction form
    3,280.72/4,526.04 = 2,038/x
  3. Step 3: Cross multiply
    3,280.72x = 4,526.04 × 2,038
  4. Step 4: Simplify right side
    3,280.72x = 9,224,069.52
  5. Step 5: Solve for x
    x = 9,224,069.52/3,280.72
  6. Step 6: Final answer
    x = 2,811.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.