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Finding the Fourth Proportional to 2,585.52, 3,877.32 and 942.24

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Solution

The fourth proportional to 2,585.52, 3,877.32 and 942.24 is: 1,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.52 : 3,877.32 = 942.24 : x
  2. Step 2: Convert to fraction form
    2,585.52/3,877.32 = 942.24/x
  3. Step 3: Cross multiply
    2,585.52x = 3,877.32 × 942.24
  4. Step 4: Simplify right side
    2,585.52x = 3,653,366.00
  5. Step 5: Solve for x
    x = 3,653,366.00/2,585.52
  6. Step 6: Final answer
    x = 1,413.01

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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.