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Finding the Fourth Proportional to 1,595.31, 2,201.49 and 896.82

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Solution

The fourth proportional to 1,595.31, 2,201.49 and 896.82 is: 1,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.31 : 2,201.49 = 896.82 : x
  2. Step 2: Convert to fraction form
    1,595.31/2,201.49 = 896.82/x
  3. Step 3: Cross multiply
    1,595.31x = 2,201.49 × 896.82
  4. Step 4: Simplify right side
    1,595.31x = 1,974,340.26
  5. Step 5: Solve for x
    x = 1,974,340.26/1,595.31
  6. Step 6: Final answer
    x = 1,237.59

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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.