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Finding the Fourth Proportional to 2,089.45, 3,133.36 and 856.63

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Solution

The fourth proportional to 2,089.45, 3,133.36 and 856.63 is: 1,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.45 : 3,133.36 = 856.63 : x
  2. Step 2: Convert to fraction form
    2,089.45/3,133.36 = 856.63/x
  3. Step 3: Cross multiply
    2,089.45x = 3,133.36 × 856.63
  4. Step 4: Simplify right side
    2,089.45x = 2,684,130.18
  5. Step 5: Solve for x
    x = 2,684,130.18/2,089.45
  6. Step 6: Final answer
    x = 1,284.61

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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.