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Finding the Fourth Proportional to 2,805.14, 3,870.29 and 1,810.99

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Solution

The fourth proportional to 2,805.14, 3,870.29 and 1,810.99 is: 2,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.14 : 3,870.29 = 1,810.99 : x
  2. Step 2: Convert to fraction form
    2,805.14/3,870.29 = 1,810.99/x
  3. Step 3: Cross multiply
    2,805.14x = 3,870.29 × 1,810.99
  4. Step 4: Simplify right side
    2,805.14x = 7,009,028.08
  5. Step 5: Solve for x
    x = 7,009,028.08/2,805.14
  6. Step 6: Final answer
    x = 2,498.64

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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.