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Finding the Fourth Proportional to 1,689.64, 2,536.28 and 1,418.70

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Solution

The fourth proportional to 1,689.64, 2,536.28 and 1,418.70 is: 2,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.64 : 2,536.28 = 1,418.70 : x
  2. Step 2: Convert to fraction form
    1,689.64/2,536.28 = 1,418.70/x
  3. Step 3: Cross multiply
    1,689.64x = 2,536.28 × 1,418.70
  4. Step 4: Simplify right side
    1,689.64x = 3,598,220.44
  5. Step 5: Solve for x
    x = 3,598,220.44/1,689.64
  6. Step 6: Final answer
    x = 2,129.58

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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.