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Finding the Fourth Proportional to 1,810.75, 2,714.14 and 1,185.30

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Solution

The fourth proportional to 1,810.75, 2,714.14 and 1,185.30 is: 1,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.75 : 2,714.14 = 1,185.30 : x
  2. Step 2: Convert to fraction form
    1,810.75/2,714.14 = 1,185.30/x
  3. Step 3: Cross multiply
    1,810.75x = 2,714.14 × 1,185.30
  4. Step 4: Simplify right side
    1,810.75x = 3,217,070.14
  5. Step 5: Solve for x
    x = 3,217,070.14/1,810.75
  6. Step 6: Final answer
    x = 1,776.65

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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.