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Finding the Fourth Proportional to 2,806.04, 4,202.50 and 1,416.00

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Solution

The fourth proportional to 2,806.04, 4,202.50 and 1,416.00 is: 2,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.04 : 4,202.50 = 1,416.00 : x
  2. Step 2: Convert to fraction form
    2,806.04/4,202.50 = 1,416.00/x
  3. Step 3: Cross multiply
    2,806.04x = 4,202.50 × 1,416.00
  4. Step 4: Simplify right side
    2,806.04x = 5,950,727.55
  5. Step 5: Solve for x
    x = 5,950,727.55/2,806.04
  6. Step 6: Final answer
    x = 2,120.68

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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.