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Finding the Fourth Proportional to 2,532.60, 3,495.08 and 1,413.62

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Solution

The fourth proportional to 2,532.60, 3,495.08 and 1,413.62 is: 1,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.60 : 3,495.08 = 1,413.62 : x
  2. Step 2: Convert to fraction form
    2,532.60/3,495.08 = 1,413.62/x
  3. Step 3: Cross multiply
    2,532.60x = 3,495.08 × 1,413.62
  4. Step 4: Simplify right side
    2,532.60x = 4,940,714.99
  5. Step 5: Solve for x
    x = 4,940,714.99/2,532.60
  6. Step 6: Final answer
    x = 1,950.85

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