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Finding the Fourth Proportional to 1,689.58, 2,532.07 and 866.11

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Solution

The fourth proportional to 1,689.58, 2,532.07 and 866.11 is: 1,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.58 : 2,532.07 = 866.11 : x
  2. Step 2: Convert to fraction form
    1,689.58/2,532.07 = 866.11/x
  3. Step 3: Cross multiply
    1,689.58x = 2,532.07 × 866.11
  4. Step 4: Simplify right side
    1,689.58x = 2,193,051.15
  5. Step 5: Solve for x
    x = 2,193,051.15/1,689.58
  6. Step 6: Final answer
    x = 1,297.99

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Why These Related Problems?

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