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Finding the Fourth Proportional to 2,586.04, 3,880.28 and 942.16

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Solution

The fourth proportional to 2,586.04, 3,880.28 and 942.16 is: 1,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.04 : 3,880.28 = 942.16 : x
  2. Step 2: Convert to fraction form
    2,586.04/3,880.28 = 942.16/x
  3. Step 3: Cross multiply
    2,586.04x = 3,880.28 × 942.16
  4. Step 4: Simplify right side
    2,586.04x = 3,655,844.60
  5. Step 5: Solve for x
    x = 3,655,844.60/2,586.04
  6. Step 6: Final answer
    x = 1,413.68

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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.