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Finding the Fourth Proportional to 2,792.61, 4,189.55 and 918.63

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Solution

The fourth proportional to 2,792.61, 4,189.55 and 918.63 is: 1,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.61 : 4,189.55 = 918.63 : x
  2. Step 2: Convert to fraction form
    2,792.61/4,189.55 = 918.63/x
  3. Step 3: Cross multiply
    2,792.61x = 4,189.55 × 918.63
  4. Step 4: Simplify right side
    2,792.61x = 3,848,641.72
  5. Step 5: Solve for x
    x = 3,848,641.72/2,792.61
  6. Step 6: Final answer
    x = 1,378.15

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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.