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Finding the Fourth Proportional to 3,029.49, 4,176.18 and 1,849.77

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Solution

The fourth proportional to 3,029.49, 4,176.18 and 1,849.77 is: 2,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.49 : 4,176.18 = 1,849.77 : x
  2. Step 2: Convert to fraction form
    3,029.49/4,176.18 = 1,849.77/x
  3. Step 3: Cross multiply
    3,029.49x = 4,176.18 × 1,849.77
  4. Step 4: Simplify right side
    3,029.49x = 7,724,972.48
  5. Step 5: Solve for x
    x = 7,724,972.48/3,029.49
  6. Step 6: Final answer
    x = 2,549.93

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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.