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Finding the Fourth Proportional to 1,595.41, 2,201.69 and 896.77

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Solution

The fourth proportional to 1,595.41, 2,201.69 and 896.77 is: 1,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.41 : 2,201.69 = 896.77 : x
  2. Step 2: Convert to fraction form
    1,595.41/2,201.69 = 896.77/x
  3. Step 3: Cross multiply
    1,595.41x = 2,201.69 × 896.77
  4. Step 4: Simplify right side
    1,595.41x = 1,974,405.06
  5. Step 5: Solve for x
    x = 1,974,405.06/1,595.41
  6. Step 6: Final answer
    x = 1,237.55

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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.