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Finding the Fourth Proportional to 2,230.39, 3,345.57 and 670.53

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Solution

The fourth proportional to 2,230.39, 3,345.57 and 670.53 is: 1,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.39 : 3,345.57 = 670.53 : x
  2. Step 2: Convert to fraction form
    2,230.39/3,345.57 = 670.53/x
  3. Step 3: Cross multiply
    2,230.39x = 3,345.57 × 670.53
  4. Step 4: Simplify right side
    2,230.39x = 2,243,305.05
  5. Step 5: Solve for x
    x = 2,243,305.05/2,230.39
  6. Step 6: Final answer
    x = 1,005.79

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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.