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Finding the Fourth Proportional to 3,089.52, 4,632.88 and 1,919.48

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Solution

The fourth proportional to 3,089.52, 4,632.88 and 1,919.48 is: 2,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.52 : 4,632.88 = 1,919.48 : x
  2. Step 2: Convert to fraction form
    3,089.52/4,632.88 = 1,919.48/x
  3. Step 3: Cross multiply
    3,089.52x = 4,632.88 × 1,919.48
  4. Step 4: Simplify right side
    3,089.52x = 8,892,720.50
  5. Step 5: Solve for x
    x = 8,892,720.50/3,089.52
  6. Step 6: Final answer
    x = 2,878.35

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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.