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Finding the Fourth Proportional to 2,666.90, 4,000.35 and 2,180.90

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Solution

The fourth proportional to 2,666.90, 4,000.35 and 2,180.90 is: 3,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.90 : 4,000.35 = 2,180.90 : x
  2. Step 2: Convert to fraction form
    2,666.90/4,000.35 = 2,180.90/x
  3. Step 3: Cross multiply
    2,666.90x = 4,000.35 × 2,180.90
  4. Step 4: Simplify right side
    2,666.90x = 8,724,363.32
  5. Step 5: Solve for x
    x = 8,724,363.32/2,666.90
  6. Step 6: Final answer
    x = 3,271.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.