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Finding the Fourth Proportional to 2,652.96, 3,979.52 and 705.17

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Solution

The fourth proportional to 2,652.96, 3,979.52 and 705.17 is: 1,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.96 : 3,979.52 = 705.17 : x
  2. Step 2: Convert to fraction form
    2,652.96/3,979.52 = 705.17/x
  3. Step 3: Cross multiply
    2,652.96x = 3,979.52 × 705.17
  4. Step 4: Simplify right side
    2,652.96x = 2,806,214.69
  5. Step 5: Solve for x
    x = 2,806,214.69/2,652.96
  6. Step 6: Final answer
    x = 1,057.77

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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.