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Finding the Fourth Proportional to 2,594.78, 3,579.14 and 1,586.02

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Solution

The fourth proportional to 2,594.78, 3,579.14 and 1,586.02 is: 2,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.78 : 3,579.14 = 1,586.02 : x
  2. Step 2: Convert to fraction form
    2,594.78/3,579.14 = 1,586.02/x
  3. Step 3: Cross multiply
    2,594.78x = 3,579.14 × 1,586.02
  4. Step 4: Simplify right side
    2,594.78x = 5,676,561.80
  5. Step 5: Solve for x
    x = 5,676,561.80/2,594.78
  6. Step 6: Final answer
    x = 2,187.69

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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.