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Finding the Fourth Proportional to 1,886.50, 2,601.69 and 1,222.69

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Solution

The fourth proportional to 1,886.50, 2,601.69 and 1,222.69 is: 1,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.50 : 2,601.69 = 1,222.69 : x
  2. Step 2: Convert to fraction form
    1,886.50/2,601.69 = 1,222.69/x
  3. Step 3: Cross multiply
    1,886.50x = 2,601.69 × 1,222.69
  4. Step 4: Simplify right side
    1,886.50x = 3,181,060.35
  5. Step 5: Solve for x
    x = 3,181,060.35/1,886.50
  6. Step 6: Final answer
    x = 1,686.22

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