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Finding the Fourth Proportional to 2,378.52, 3,563.82 and 2,106.36

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Solution

The fourth proportional to 2,378.52, 3,563.82 and 2,106.36 is: 3,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.52 : 3,563.82 = 2,106.36 : x
  2. Step 2: Convert to fraction form
    2,378.52/3,563.82 = 2,106.36/x
  3. Step 3: Cross multiply
    2,378.52x = 3,563.82 × 2,106.36
  4. Step 4: Simplify right side
    2,378.52x = 7,506,687.90
  5. Step 5: Solve for x
    x = 7,506,687.90/2,378.52
  6. Step 6: Final answer
    x = 3,156.03

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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.