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Finding the Fourth Proportional to 3,284.49, 4,926.72 and 975.99

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Solution

The fourth proportional to 3,284.49, 4,926.72 and 975.99 is: 1,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.49 : 4,926.72 = 975.99 : x
  2. Step 2: Convert to fraction form
    3,284.49/4,926.72 = 975.99/x
  3. Step 3: Cross multiply
    3,284.49x = 4,926.72 × 975.99
  4. Step 4: Simplify right side
    3,284.49x = 4,808,399.94
  5. Step 5: Solve for x
    x = 4,808,399.94/3,284.49
  6. Step 6: Final answer
    x = 1,463.97

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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.