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Finding the Fourth Proportional to 1,992.53, 2,749.21 and 1,153.07

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Solution

The fourth proportional to 1,992.53, 2,749.21 and 1,153.07 is: 1,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.53 : 2,749.21 = 1,153.07 : x
  2. Step 2: Convert to fraction form
    1,992.53/2,749.21 = 1,153.07/x
  3. Step 3: Cross multiply
    1,992.53x = 2,749.21 × 1,153.07
  4. Step 4: Simplify right side
    1,992.53x = 3,170,025.26
  5. Step 5: Solve for x
    x = 3,170,025.26/1,992.53
  6. Step 6: Final answer
    x = 1,590.95

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1.5x scale

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.