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Finding the Fourth Proportional to 2,594.60, 3,579.68 and 1,585.94

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Solution

The fourth proportional to 2,594.60, 3,579.68 and 1,585.94 is: 2,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.60 : 3,579.68 = 1,585.94 : x
  2. Step 2: Convert to fraction form
    2,594.60/3,579.68 = 1,585.94/x
  3. Step 3: Cross multiply
    2,594.60x = 3,579.68 × 1,585.94
  4. Step 4: Simplify right side
    2,594.60x = 5,677,157.70
  5. Step 5: Solve for x
    x = 5,677,157.70/2,594.60
  6. Step 6: Final answer
    x = 2,188.07

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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.