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Finding the Fourth Proportional to 2,614.94, 3,922.96 and 971.50

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Solution

The fourth proportional to 2,614.94, 3,922.96 and 971.50 is: 1,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.94 : 3,922.96 = 971.50 : x
  2. Step 2: Convert to fraction form
    2,614.94/3,922.96 = 971.50/x
  3. Step 3: Cross multiply
    2,614.94x = 3,922.96 × 971.50
  4. Step 4: Simplify right side
    2,614.94x = 3,811,155.64
  5. Step 5: Solve for x
    x = 3,811,155.64/2,614.94
  6. Step 6: Final answer
    x = 1,457.45

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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.