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Finding the Fourth Proportional to 2,532.87, 3,495.42 and 1,413.77

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Solution

The fourth proportional to 2,532.87, 3,495.42 and 1,413.77 is: 1,951.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.87 : 3,495.42 = 1,413.77 : x
  2. Step 2: Convert to fraction form
    2,532.87/3,495.42 = 1,413.77/x
  3. Step 3: Cross multiply
    2,532.87x = 3,495.42 × 1,413.77
  4. Step 4: Simplify right side
    2,532.87x = 4,941,702.46
  5. Step 5: Solve for x
    x = 4,941,702.46/2,532.87
  6. Step 6: Final answer
    x = 1,951.03

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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.