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Finding the Fourth Proportional to 1,536.58, 2,305.26 and 989.02

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Solution

The fourth proportional to 1,536.58, 2,305.26 and 989.02 is: 1,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.58 : 2,305.26 = 989.02 : x
  2. Step 2: Convert to fraction form
    1,536.58/2,305.26 = 989.02/x
  3. Step 3: Cross multiply
    1,536.58x = 2,305.26 × 989.02
  4. Step 4: Simplify right side
    1,536.58x = 2,279,948.25
  5. Step 5: Solve for x
    x = 2,279,948.25/1,536.58
  6. Step 6: Final answer
    x = 1,483.78

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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.