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Finding the Fourth Proportional to 2,792.71, 4,189.15 and 1,405.29

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Solution

The fourth proportional to 2,792.71, 4,189.15 and 1,405.29 is: 2,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.71 : 4,189.15 = 1,405.29 : x
  2. Step 2: Convert to fraction form
    2,792.71/4,189.15 = 1,405.29/x
  3. Step 3: Cross multiply
    2,792.71x = 4,189.15 × 1,405.29
  4. Step 4: Simplify right side
    2,792.71x = 5,886,970.60
  5. Step 5: Solve for x
    x = 5,886,970.60/2,792.71
  6. Step 6: Final answer
    x = 2,107.98

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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.