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Finding the Fourth Proportional to 2,999.49, 4,139.30 and 1,740.81

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Solution

The fourth proportional to 2,999.49, 4,139.30 and 1,740.81 is: 2,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.49 : 4,139.30 = 1,740.81 : x
  2. Step 2: Convert to fraction form
    2,999.49/4,139.30 = 1,740.81/x
  3. Step 3: Cross multiply
    2,999.49x = 4,139.30 × 1,740.81
  4. Step 4: Simplify right side
    2,999.49x = 7,205,726.13
  5. Step 5: Solve for x
    x = 7,205,726.13/2,999.49
  6. Step 6: Final answer
    x = 2,402.32

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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.