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Finding the Fourth Proportional to 2,854.49, 4,283.25 and 2,845.76

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Solution

The fourth proportional to 2,854.49, 4,283.25 and 2,845.76 is: 4,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.49 : 4,283.25 = 2,845.76 : x
  2. Step 2: Convert to fraction form
    2,854.49/4,283.25 = 2,845.76/x
  3. Step 3: Cross multiply
    2,854.49x = 4,283.25 × 2,845.76
  4. Step 4: Simplify right side
    2,854.49x = 12,189,105.49
  5. Step 5: Solve for x
    x = 12,189,105.49/2,854.49
  6. Step 6: Final answer
    x = 4,270.15

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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.