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Finding the Fourth Proportional to 2,089.95, 3,135.02 and 856.49

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Solution

The fourth proportional to 2,089.95, 3,135.02 and 856.49 is: 1,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.95 : 3,135.02 = 856.49 : x
  2. Step 2: Convert to fraction form
    2,089.95/3,135.02 = 856.49/x
  3. Step 3: Cross multiply
    2,089.95x = 3,135.02 × 856.49
  4. Step 4: Simplify right side
    2,089.95x = 2,685,110.96
  5. Step 5: Solve for x
    x = 2,685,110.96/2,089.95
  6. Step 6: Final answer
    x = 1,284.78

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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.