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Finding the Fourth Proportional to 2,786.46, 4,172.13 and 1,810.14

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Solution

The fourth proportional to 2,786.46, 4,172.13 and 1,810.14 is: 2,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.46 : 4,172.13 = 1,810.14 : x
  2. Step 2: Convert to fraction form
    2,786.46/4,172.13 = 1,810.14/x
  3. Step 3: Cross multiply
    2,786.46x = 4,172.13 × 1,810.14
  4. Step 4: Simplify right side
    2,786.46x = 7,552,139.40
  5. Step 5: Solve for x
    x = 7,552,139.40/2,786.46
  6. Step 6: Final answer
    x = 2,710.30

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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.