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Finding the Fourth Proportional to 2,856.76, 4,285.14 and 1,757.80

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Solution

The fourth proportional to 2,856.76, 4,285.14 and 1,757.80 is: 2,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.76 : 4,285.14 = 1,757.80 : x
  2. Step 2: Convert to fraction form
    2,856.76/4,285.14 = 1,757.80/x
  3. Step 3: Cross multiply
    2,856.76x = 4,285.14 × 1,757.80
  4. Step 4: Simplify right side
    2,856.76x = 7,532,419.09
  5. Step 5: Solve for x
    x = 7,532,419.09/2,856.76
  6. Step 6: Final answer
    x = 2,636.70

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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.