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Finding the Fourth Proportional to 1,812.78, 2,498.65 and 1,215.07

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Solution

The fourth proportional to 1,812.78, 2,498.65 and 1,215.07 is: 1,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.78 : 2,498.65 = 1,215.07 : x
  2. Step 2: Convert to fraction form
    1,812.78/2,498.65 = 1,215.07/x
  3. Step 3: Cross multiply
    1,812.78x = 2,498.65 × 1,215.07
  4. Step 4: Simplify right side
    1,812.78x = 3,036,025.37
  5. Step 5: Solve for x
    x = 3,036,025.37/1,812.78
  6. Step 6: Final answer
    x = 1,674.79

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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.