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Finding the Fourth Proportional to 1,222.92, 1,830.11 and 1,000.98

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Solution

The fourth proportional to 1,222.92, 1,830.11 and 1,000.98 is: 1,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.92 : 1,830.11 = 1,000.98 : x
  2. Step 2: Convert to fraction form
    1,222.92/1,830.11 = 1,000.98/x
  3. Step 3: Cross multiply
    1,222.92x = 1,830.11 × 1,000.98
  4. Step 4: Simplify right side
    1,222.92x = 1,831,903.51
  5. Step 5: Solve for x
    x = 1,831,903.51/1,222.92
  6. Step 6: Final answer
    x = 1,497.97

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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.