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Finding the Fourth Proportional to 3,146.61, 4,342.49 and 1,802.28

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Solution

The fourth proportional to 3,146.61, 4,342.49 and 1,802.28 is: 2,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.61 : 4,342.49 = 1,802.28 : x
  2. Step 2: Convert to fraction form
    3,146.61/4,342.49 = 1,802.28/x
  3. Step 3: Cross multiply
    3,146.61x = 4,342.49 × 1,802.28
  4. Step 4: Simplify right side
    3,146.61x = 7,826,382.88
  5. Step 5: Solve for x
    x = 7,826,382.88/3,146.61
  6. Step 6: Final answer
    x = 2,487.24

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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.