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Finding the Fourth Proportional to 2,310.94, 3,467.85 and 924.07

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Solution

The fourth proportional to 2,310.94, 3,467.85 and 924.07 is: 1,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.94 : 3,467.85 = 924.07 : x
  2. Step 2: Convert to fraction form
    2,310.94/3,467.85 = 924.07/x
  3. Step 3: Cross multiply
    2,310.94x = 3,467.85 × 924.07
  4. Step 4: Simplify right side
    2,310.94x = 3,204,536.15
  5. Step 5: Solve for x
    x = 3,204,536.15/2,310.94
  6. Step 6: Final answer
    x = 1,386.68

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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.