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Finding the Fourth Proportional to 2,230.24, 3,345.54 and 691.24

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Solution

The fourth proportional to 2,230.24, 3,345.54 and 691.24 is: 1,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.24 : 3,345.54 = 691.24 : x
  2. Step 2: Convert to fraction form
    2,230.24/3,345.54 = 691.24/x
  3. Step 3: Cross multiply
    2,230.24x = 3,345.54 × 691.24
  4. Step 4: Simplify right side
    2,230.24x = 2,312,571.07
  5. Step 5: Solve for x
    x = 2,312,571.07/2,230.24
  6. Step 6: Final answer
    x = 1,036.92

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1.5x scale

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.