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Finding the Fourth Proportional to 2,095.57, 2,891.90 and 1,310.07

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Solution

The fourth proportional to 2,095.57, 2,891.90 and 1,310.07 is: 1,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.57 : 2,891.90 = 1,310.07 : x
  2. Step 2: Convert to fraction form
    2,095.57/2,891.90 = 1,310.07/x
  3. Step 3: Cross multiply
    2,095.57x = 2,891.90 × 1,310.07
  4. Step 4: Simplify right side
    2,095.57x = 3,788,591.43
  5. Step 5: Solve for x
    x = 3,788,591.43/2,095.57
  6. Step 6: Final answer
    x = 1,807.90

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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.