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Finding the Fourth Proportional to 2,484.26, 3,428.61 and 1,602.63

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Solution

The fourth proportional to 2,484.26, 3,428.61 and 1,602.63 is: 2,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.26 : 3,428.61 = 1,602.63 : x
  2. Step 2: Convert to fraction form
    2,484.26/3,428.61 = 1,602.63/x
  3. Step 3: Cross multiply
    2,484.26x = 3,428.61 × 1,602.63
  4. Step 4: Simplify right side
    2,484.26x = 5,494,787.23
  5. Step 5: Solve for x
    x = 5,494,787.23/2,484.26
  6. Step 6: Final answer
    x = 2,211.84

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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.