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Finding the Fourth Proportional to 1,558.99, 2,150.52 and 969.16

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Solution

The fourth proportional to 1,558.99, 2,150.52 and 969.16 is: 1,336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.99 : 2,150.52 = 969.16 : x
  2. Step 2: Convert to fraction form
    1,558.99/2,150.52 = 969.16/x
  3. Step 3: Cross multiply
    1,558.99x = 2,150.52 × 969.16
  4. Step 4: Simplify right side
    1,558.99x = 2,084,197.96
  5. Step 5: Solve for x
    x = 2,084,197.96/1,558.99
  6. Step 6: Final answer
    x = 1,336.89

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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.