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Finding the Fourth Proportional to 4,451.04, 6,678.90 and 1,820.50

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Solution

The fourth proportional to 4,451.04, 6,678.90 and 1,820.50 is: 2,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.04 : 6,678.90 = 1,820.50 : x
  2. Step 2: Convert to fraction form
    4,451.04/6,678.90 = 1,820.50/x
  3. Step 3: Cross multiply
    4,451.04x = 6,678.90 × 1,820.50
  4. Step 4: Simplify right side
    4,451.04x = 12,158,920.75
  5. Step 5: Solve for x
    x = 12,158,920.75/4,451.04
  6. Step 6: Final answer
    x = 2,731.70

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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.