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Finding the Fourth Proportional to 2,095.80, 2,894.04 and 1,311.18

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Solution

The fourth proportional to 2,095.80, 2,894.04 and 1,311.18 is: 1,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.80 : 2,894.04 = 1,311.18 : x
  2. Step 2: Convert to fraction form
    2,095.80/2,894.04 = 1,311.18/x
  3. Step 3: Cross multiply
    2,095.80x = 2,894.04 × 1,311.18
  4. Step 4: Simplify right side
    2,095.80x = 3,794,607.37
  5. Step 5: Solve for x
    x = 3,794,607.37/2,095.80
  6. Step 6: Final answer
    x = 1,810.58

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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.