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Finding the Fourth Proportional to 2,109.80, 2,911.14 and 1,814.60

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Solution

The fourth proportional to 2,109.80, 2,911.14 and 1,814.60 is: 2,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.80 : 2,911.14 = 1,814.60 : x
  2. Step 2: Convert to fraction form
    2,109.80/2,911.14 = 1,814.60/x
  3. Step 3: Cross multiply
    2,109.80x = 2,911.14 × 1,814.60
  4. Step 4: Simplify right side
    2,109.80x = 5,282,554.64
  5. Step 5: Solve for x
    x = 5,282,554.64/2,109.80
  6. Step 6: Final answer
    x = 2,503.82

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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.