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Finding the Fourth Proportional to 1,524.96, 2,104.74 and 965.64

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Solution

The fourth proportional to 1,524.96, 2,104.74 and 965.64 is: 1,332.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.96 : 2,104.74 = 965.64 : x
  2. Step 2: Convert to fraction form
    1,524.96/2,104.74 = 965.64/x
  3. Step 3: Cross multiply
    1,524.96x = 2,104.74 × 965.64
  4. Step 4: Simplify right side
    1,524.96x = 2,032,421.13
  5. Step 5: Solve for x
    x = 2,032,421.13/1,524.96
  6. Step 6: Final answer
    x = 1,332.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.