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Finding the Fourth Proportional to 2,924.16, 4,384.87 and 974.99

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Solution

The fourth proportional to 2,924.16, 4,384.87 and 974.99 is: 1,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.16 : 4,384.87 = 974.99 : x
  2. Step 2: Convert to fraction form
    2,924.16/4,384.87 = 974.99/x
  3. Step 3: Cross multiply
    2,924.16x = 4,384.87 × 974.99
  4. Step 4: Simplify right side
    2,924.16x = 4,275,212.93
  5. Step 5: Solve for x
    x = 4,275,212.93/2,924.16
  6. Step 6: Final answer
    x = 1,462.03

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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.