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Finding the Fourth Proportional to 2,109.80, 2,895.98 and 1,868.49

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Solution

The fourth proportional to 2,109.80, 2,895.98 and 1,868.49 is: 2,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.80 : 2,895.98 = 1,868.49 : x
  2. Step 2: Convert to fraction form
    2,109.80/2,895.98 = 1,868.49/x
  3. Step 3: Cross multiply
    2,109.80x = 2,895.98 × 1,868.49
  4. Step 4: Simplify right side
    2,109.80x = 5,411,100.33
  5. Step 5: Solve for x
    x = 5,411,100.33/2,109.80
  6. Step 6: Final answer
    x = 2,564.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.