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Finding the Fourth Proportional to 1,341.49, 1,851.23 and 743.98

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Solution

The fourth proportional to 1,341.49, 1,851.23 and 743.98 is: 1,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.49 : 1,851.23 = 743.98 : x
  2. Step 2: Convert to fraction form
    1,341.49/1,851.23 = 743.98/x
  3. Step 3: Cross multiply
    1,341.49x = 1,851.23 × 743.98
  4. Step 4: Simplify right side
    1,341.49x = 1,377,282.27
  5. Step 5: Solve for x
    x = 1,377,282.27/1,341.49
  6. Step 6: Final answer
    x = 1,026.68

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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.