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Finding the Fourth Proportional to 2,184.74, 3,273.16 and 2,095.86

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Solution

The fourth proportional to 2,184.74, 3,273.16 and 2,095.86 is: 3,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.74 : 3,273.16 = 2,095.86 : x
  2. Step 2: Convert to fraction form
    2,184.74/3,273.16 = 2,095.86/x
  3. Step 3: Cross multiply
    2,184.74x = 3,273.16 × 2,095.86
  4. Step 4: Simplify right side
    2,184.74x = 6,860,085.12
  5. Step 5: Solve for x
    x = 6,860,085.12/2,184.74
  6. Step 6: Final answer
    x = 3,140.00

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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.