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Finding the Fourth Proportional to 1,595.04, 2,201.14 and 896.41

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Solution

The fourth proportional to 1,595.04, 2,201.14 and 896.41 is: 1,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.04 : 2,201.14 = 896.41 : x
  2. Step 2: Convert to fraction form
    1,595.04/2,201.14 = 896.41/x
  3. Step 3: Cross multiply
    1,595.04x = 2,201.14 × 896.41
  4. Step 4: Simplify right side
    1,595.04x = 1,973,123.91
  5. Step 5: Solve for x
    x = 1,973,123.91/1,595.04
  6. Step 6: Final answer
    x = 1,237.04

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