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Finding the Fourth Proportional to 2,594.90, 3,582.81 and 1,601.52

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Solution

The fourth proportional to 2,594.90, 3,582.81 and 1,601.52 is: 2,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.90 : 3,582.81 = 1,601.52 : x
  2. Step 2: Convert to fraction form
    2,594.90/3,582.81 = 1,601.52/x
  3. Step 3: Cross multiply
    2,594.90x = 3,582.81 × 1,601.52
  4. Step 4: Simplify right side
    2,594.90x = 5,737,941.87
  5. Step 5: Solve for x
    x = 5,737,941.87/2,594.90
  6. Step 6: Final answer
    x = 2,211.24

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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.