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Finding the Fourth Proportional to 2,866.55, 4,293.74 and 2,165.49

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Solution

The fourth proportional to 2,866.55, 4,293.74 and 2,165.49 is: 3,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.55 : 4,293.74 = 2,165.49 : x
  2. Step 2: Convert to fraction form
    2,866.55/4,293.74 = 2,165.49/x
  3. Step 3: Cross multiply
    2,866.55x = 4,293.74 × 2,165.49
  4. Step 4: Simplify right side
    2,866.55x = 9,298,056.45
  5. Step 5: Solve for x
    x = 9,298,056.45/2,866.55
  6. Step 6: Final answer
    x = 3,243.65

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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.