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Finding the Fourth Proportional to 2,110.59, 2,905.47 and 1,814.13

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Solution

The fourth proportional to 2,110.59, 2,905.47 and 1,814.13 is: 2,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.59 : 2,905.47 = 1,814.13 : x
  2. Step 2: Convert to fraction form
    2,110.59/2,905.47 = 1,814.13/x
  3. Step 3: Cross multiply
    2,110.59x = 2,905.47 × 1,814.13
  4. Step 4: Simplify right side
    2,110.59x = 5,270,900.29
  5. Step 5: Solve for x
    x = 5,270,900.29/2,110.59
  6. Step 6: Final answer
    x = 2,497.36

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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.