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Finding the Fourth Proportional to 1,869.02, 2,805.95 and 1,222.64

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Solution

The fourth proportional to 1,869.02, 2,805.95 and 1,222.64 is: 1,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.02 : 2,805.95 = 1,222.64 : x
  2. Step 2: Convert to fraction form
    1,869.02/2,805.95 = 1,222.64/x
  3. Step 3: Cross multiply
    1,869.02x = 2,805.95 × 1,222.64
  4. Step 4: Simplify right side
    1,869.02x = 3,430,655.73
  5. Step 5: Solve for x
    x = 3,430,655.73/1,869.02
  6. Step 6: Final answer
    x = 1,835.54

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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.