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Finding the Fourth Proportional to 2,783.90, 4,175.85 and 2,095.40

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Solution

The fourth proportional to 2,783.90, 4,175.85 and 2,095.40 is: 3,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.90 : 4,175.85 = 2,095.40 : x
  2. Step 2: Convert to fraction form
    2,783.90/4,175.85 = 2,095.40/x
  3. Step 3: Cross multiply
    2,783.90x = 4,175.85 × 2,095.40
  4. Step 4: Simplify right side
    2,783.90x = 8,750,076.09
  5. Step 5: Solve for x
    x = 8,750,076.09/2,783.90
  6. Step 6: Final answer
    x = 3,143.10

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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.