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Finding the Fourth Proportional to 2,807.65, 4,212.12 and 1,420.45

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Solution

The fourth proportional to 2,807.65, 4,212.12 and 1,420.45 is: 2,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.65 : 4,212.12 = 1,420.45 : x
  2. Step 2: Convert to fraction form
    2,807.65/4,212.12 = 1,420.45/x
  3. Step 3: Cross multiply
    2,807.65x = 4,212.12 × 1,420.45
  4. Step 4: Simplify right side
    2,807.65x = 5,983,105.85
  5. Step 5: Solve for x
    x = 5,983,105.85/2,807.65
  6. Step 6: Final answer
    x = 2,131.00

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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.