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Finding the Fourth Proportional to 2,862.54, 4,293.81 and 1,564.92

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Solution

The fourth proportional to 2,862.54, 4,293.81 and 1,564.92 is: 2,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.54 : 4,293.81 = 1,564.92 : x
  2. Step 2: Convert to fraction form
    2,862.54/4,293.81 = 1,564.92/x
  3. Step 3: Cross multiply
    2,862.54x = 4,293.81 × 1,564.92
  4. Step 4: Simplify right side
    2,862.54x = 6,719,469.15
  5. Step 5: Solve for x
    x = 6,719,469.15/2,862.54
  6. Step 6: Final answer
    x = 2,347.38

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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.