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Finding the Fourth Proportional to 2,838.66, 4,254.21 and 1,605.30

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Solution

The fourth proportional to 2,838.66, 4,254.21 and 1,605.30 is: 2,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.66 : 4,254.21 = 1,605.30 : x
  2. Step 2: Convert to fraction form
    2,838.66/4,254.21 = 1,605.30/x
  3. Step 3: Cross multiply
    2,838.66x = 4,254.21 × 1,605.30
  4. Step 4: Simplify right side
    2,838.66x = 6,829,283.31
  5. Step 5: Solve for x
    x = 6,829,283.31/2,838.66
  6. Step 6: Final answer
    x = 2,405.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.