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Finding the Fourth Proportional to 2,074.88, 3,113.76 and 1,426.24

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Solution

The fourth proportional to 2,074.88, 3,113.76 and 1,426.24 is: 2,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.88 : 3,113.76 = 1,426.24 : x
  2. Step 2: Convert to fraction form
    2,074.88/3,113.76 = 1,426.24/x
  3. Step 3: Cross multiply
    2,074.88x = 3,113.76 × 1,426.24
  4. Step 4: Simplify right side
    2,074.88x = 4,440,969.06
  5. Step 5: Solve for x
    x = 4,440,969.06/2,074.88
  6. Step 6: Final answer
    x = 2,140.35

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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.