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Finding the Fourth Proportional to 2,681.80, 4,020.22 and 1,220

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Solution

The fourth proportional to 2,681.80, 4,020.22 and 1,220 is: 1,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.80 : 4,020.22 = 1,220 : x
  2. Step 2: Convert to fraction form
    2,681.80/4,020.22 = 1,220/x
  3. Step 3: Cross multiply
    2,681.80x = 4,020.22 × 1,220
  4. Step 4: Simplify right side
    2,681.80x = 4,904,668.40
  5. Step 5: Solve for x
    x = 4,904,668.40/2,681.80
  6. Step 6: Final answer
    x = 1,828.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.