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Finding the Fourth Proportional to 1,932.60, 2,899.32 and 957.56

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Solution

The fourth proportional to 1,932.60, 2,899.32 and 957.56 is: 1,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.60 : 2,899.32 = 957.56 : x
  2. Step 2: Convert to fraction form
    1,932.60/2,899.32 = 957.56/x
  3. Step 3: Cross multiply
    1,932.60x = 2,899.32 × 957.56
  4. Step 4: Simplify right side
    1,932.60x = 2,776,272.86
  5. Step 5: Solve for x
    x = 2,776,272.86/1,932.60
  6. Step 6: Final answer
    x = 1,436.55

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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.