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Finding the Fourth Proportional to 2,645.40, 3,969.90 and 2,101.08

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Solution

The fourth proportional to 2,645.40, 3,969.90 and 2,101.08 is: 3,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.40 : 3,969.90 = 2,101.08 : x
  2. Step 2: Convert to fraction form
    2,645.40/3,969.90 = 2,101.08/x
  3. Step 3: Cross multiply
    2,645.40x = 3,969.90 × 2,101.08
  4. Step 4: Simplify right side
    2,645.40x = 8,341,077.49
  5. Step 5: Solve for x
    x = 8,341,077.49/2,645.40
  6. Step 6: Final answer
    x = 3,153.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.