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Finding the Fourth Proportional to 3,098.49, 4,274.42 and 2,051.43

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Solution

The fourth proportional to 3,098.49, 4,274.42 and 2,051.43 is: 2,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.49 : 4,274.42 = 2,051.43 : x
  2. Step 2: Convert to fraction form
    3,098.49/4,274.42 = 2,051.43/x
  3. Step 3: Cross multiply
    3,098.49x = 4,274.42 × 2,051.43
  4. Step 4: Simplify right side
    3,098.49x = 8,768,663.16
  5. Step 5: Solve for x
    x = 8,768,663.16/3,098.49
  6. Step 6: Final answer
    x = 2,829.98

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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.