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Finding the Fourth Proportional to 2,977.80, 4,453.29 and 2,275.23

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Solution

The fourth proportional to 2,977.80, 4,453.29 and 2,275.23 is: 3,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.80 : 4,453.29 = 2,275.23 : x
  2. Step 2: Convert to fraction form
    2,977.80/4,453.29 = 2,275.23/x
  3. Step 3: Cross multiply
    2,977.80x = 4,453.29 × 2,275.23
  4. Step 4: Simplify right side
    2,977.80x = 10,132,259.01
  5. Step 5: Solve for x
    x = 10,132,259.01/2,977.80
  6. Step 6: Final answer
    x = 3,402.60

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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.