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Finding the Fourth Proportional to 3,000.51, 4,140.18 and 1,821.42

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Solution

The fourth proportional to 3,000.51, 4,140.18 and 1,821.42 is: 2,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.51 : 4,140.18 = 1,821.42 : x
  2. Step 2: Convert to fraction form
    3,000.51/4,140.18 = 1,821.42/x
  3. Step 3: Cross multiply
    3,000.51x = 4,140.18 × 1,821.42
  4. Step 4: Simplify right side
    3,000.51x = 7,541,006.66
  5. Step 5: Solve for x
    x = 7,541,006.66/3,000.51
  6. Step 6: Final answer
    x = 2,513.24

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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.