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Finding the Fourth Proportional to 3,149.10, 4,723.07 and 957.24

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Solution

The fourth proportional to 3,149.10, 4,723.07 and 957.24 is: 1,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.10 : 4,723.07 = 957.24 : x
  2. Step 2: Convert to fraction form
    3,149.10/4,723.07 = 957.24/x
  3. Step 3: Cross multiply
    3,149.10x = 4,723.07 × 957.24
  4. Step 4: Simplify right side
    3,149.10x = 4,521,106.74
  5. Step 5: Solve for x
    x = 4,521,106.74/3,149.10
  6. Step 6: Final answer
    x = 1,435.68

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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.