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Finding the Fourth Proportional to 1,810.30, 2,710.30 and 1,192.14

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Solution

The fourth proportional to 1,810.30, 2,710.30 and 1,192.14 is: 1,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.30 : 2,710.30 = 1,192.14 : x
  2. Step 2: Convert to fraction form
    1,810.30/2,710.30 = 1,192.14/x
  3. Step 3: Cross multiply
    1,810.30x = 2,710.30 × 1,192.14
  4. Step 4: Simplify right side
    1,810.30x = 3,231,057.04
  5. Step 5: Solve for x
    x = 3,231,057.04/1,810.30
  6. Step 6: Final answer
    x = 1,784.82

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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.