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Finding the Fourth Proportional to 3,115.99, 4,674.48 and 924.49

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Solution

The fourth proportional to 3,115.99, 4,674.48 and 924.49 is: 1,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.99 : 4,674.48 = 924.49 : x
  2. Step 2: Convert to fraction form
    3,115.99/4,674.48 = 924.49/x
  3. Step 3: Cross multiply
    3,115.99x = 4,674.48 × 924.49
  4. Step 4: Simplify right side
    3,115.99x = 4,321,510.02
  5. Step 5: Solve for x
    x = 4,321,510.02/3,115.99
  6. Step 6: Final answer
    x = 1,386.88

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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.