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Finding the Fourth Proportional to 2,807.20, 4,204.32 and 1,830.88

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Solution

The fourth proportional to 2,807.20, 4,204.32 and 1,830.88 is: 2,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.20 : 4,204.32 = 1,830.88 : x
  2. Step 2: Convert to fraction form
    2,807.20/4,204.32 = 1,830.88/x
  3. Step 3: Cross multiply
    2,807.20x = 4,204.32 × 1,830.88
  4. Step 4: Simplify right side
    2,807.20x = 7,697,605.40
  5. Step 5: Solve for x
    x = 7,697,605.40/2,807.20
  6. Step 6: Final answer
    x = 2,742.09

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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.