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Finding the Fourth Proportional to 2,713.30, 4,069.95 and 661.30

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Solution

The fourth proportional to 2,713.30, 4,069.95 and 661.30 is: 991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.30 : 4,069.95 = 661.30 : x
  2. Step 2: Convert to fraction form
    2,713.30/4,069.95 = 661.30/x
  3. Step 3: Cross multiply
    2,713.30x = 4,069.95 × 661.30
  4. Step 4: Simplify right side
    2,713.30x = 2,691,457.94
  5. Step 5: Solve for x
    x = 2,691,457.94/2,713.30
  6. Step 6: Final answer
    x = 991.95

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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.