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Finding the Fourth Proportional to 1,689.25, 2,528.05 and 1,339.64

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Solution

The fourth proportional to 1,689.25, 2,528.05 and 1,339.64 is: 2,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.25 : 2,528.05 = 1,339.64 : x
  2. Step 2: Convert to fraction form
    1,689.25/2,528.05 = 1,339.64/x
  3. Step 3: Cross multiply
    1,689.25x = 2,528.05 × 1,339.64
  4. Step 4: Simplify right side
    1,689.25x = 3,386,664.26
  5. Step 5: Solve for x
    x = 3,386,664.26/1,689.25
  6. Step 6: Final answer
    x = 2,004.83

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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.