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Finding the Fourth Proportional to 1,800.21, 2,484.22 and 1,014.26

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Solution

The fourth proportional to 1,800.21, 2,484.22 and 1,014.26 is: 1,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.21 : 2,484.22 = 1,014.26 : x
  2. Step 2: Convert to fraction form
    1,800.21/2,484.22 = 1,014.26/x
  3. Step 3: Cross multiply
    1,800.21x = 2,484.22 × 1,014.26
  4. Step 4: Simplify right side
    1,800.21x = 2,519,639.91
  5. Step 5: Solve for x
    x = 2,519,639.91/1,800.21
  6. Step 6: Final answer
    x = 1,399.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.