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Finding the Fourth Proportional to 1,567.72, 2,163.54 and 895.73

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Solution

The fourth proportional to 1,567.72, 2,163.54 and 895.73 is: 1,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.72 : 2,163.54 = 895.73 : x
  2. Step 2: Convert to fraction form
    1,567.72/2,163.54 = 895.73/x
  3. Step 3: Cross multiply
    1,567.72x = 2,163.54 × 895.73
  4. Step 4: Simplify right side
    1,567.72x = 1,937,947.68
  5. Step 5: Solve for x
    x = 1,937,947.68/1,567.72
  6. Step 6: Final answer
    x = 1,236.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.