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Finding the Fourth Proportional to 2,689.48, 4,032.78 and 1,722.52

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Solution

The fourth proportional to 2,689.48, 4,032.78 and 1,722.52 is: 2,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.48 : 4,032.78 = 1,722.52 : x
  2. Step 2: Convert to fraction form
    2,689.48/4,032.78 = 1,722.52/x
  3. Step 3: Cross multiply
    2,689.48x = 4,032.78 × 1,722.52
  4. Step 4: Simplify right side
    2,689.48x = 6,946,544.21
  5. Step 5: Solve for x
    x = 6,946,544.21/2,689.48
  6. Step 6: Final answer
    x = 2,582.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.