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Finding the Fourth Proportional to 2,874.04, 4,312.64 and 1,413.20

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Solution

The fourth proportional to 2,874.04, 4,312.64 and 1,413.20 is: 2,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.04 : 4,312.64 = 1,413.20 : x
  2. Step 2: Convert to fraction form
    2,874.04/4,312.64 = 1,413.20/x
  3. Step 3: Cross multiply
    2,874.04x = 4,312.64 × 1,413.20
  4. Step 4: Simplify right side
    2,874.04x = 6,094,622.85
  5. Step 5: Solve for x
    x = 6,094,622.85/2,874.04
  6. Step 6: Final answer
    x = 2,120.58

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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.