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Finding the Fourth Proportional to 1,826.89, 2,520.21 and 1,756.16

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Solution

The fourth proportional to 1,826.89, 2,520.21 and 1,756.16 is: 2,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.89 : 2,520.21 = 1,756.16 : x
  2. Step 2: Convert to fraction form
    1,826.89/2,520.21 = 1,756.16/x
  3. Step 3: Cross multiply
    1,826.89x = 2,520.21 × 1,756.16
  4. Step 4: Simplify right side
    1,826.89x = 4,425,895.43
  5. Step 5: Solve for x
    x = 4,425,895.43/1,826.89
  6. Step 6: Final answer
    x = 2,422.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.