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Finding the Fourth Proportional to 1,789.79, 2,464.29 and 1,625.76

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Solution

The fourth proportional to 1,789.79, 2,464.29 and 1,625.76 is: 2,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.79 : 2,464.29 = 1,625.76 : x
  2. Step 2: Convert to fraction form
    1,789.79/2,464.29 = 1,625.76/x
  3. Step 3: Cross multiply
    1,789.79x = 2,464.29 × 1,625.76
  4. Step 4: Simplify right side
    1,789.79x = 4,006,344.11
  5. Step 5: Solve for x
    x = 4,006,344.11/1,789.79
  6. Step 6: Final answer
    x = 2,238.45

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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.