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Finding the Fourth Proportional to 2,592.35, 3,577.42 and 1,413.35

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Solution

The fourth proportional to 2,592.35, 3,577.42 and 1,413.35 is: 1,950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.35 : 3,577.42 = 1,413.35 : x
  2. Step 2: Convert to fraction form
    2,592.35/3,577.42 = 1,413.35/x
  3. Step 3: Cross multiply
    2,592.35x = 3,577.42 × 1,413.35
  4. Step 4: Simplify right side
    2,592.35x = 5,056,135.90
  5. Step 5: Solve for x
    x = 5,056,135.90/2,592.35
  6. Step 6: Final answer
    x = 1,950.40

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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.