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Finding the Fourth Proportional to 1,583.94, 2,185.92 and 1,024.50

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Solution

The fourth proportional to 1,583.94, 2,185.92 and 1,024.50 is: 1,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.94 : 2,185.92 = 1,024.50 : x
  2. Step 2: Convert to fraction form
    1,583.94/2,185.92 = 1,024.50/x
  3. Step 3: Cross multiply
    1,583.94x = 2,185.92 × 1,024.50
  4. Step 4: Simplify right side
    1,583.94x = 2,239,475.04
  5. Step 5: Solve for x
    x = 2,239,475.04/1,583.94
  6. Step 6: Final answer
    x = 1,413.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.