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Finding the Fourth Proportional to 1,896, 2,615.20 and 1,196.16

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Solution

The fourth proportional to 1,896, 2,615.20 and 1,196.16 is: 1,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896 : 2,615.20 = 1,196.16 : x
  2. Step 2: Convert to fraction form
    1,896/2,615.20 = 1,196.16/x
  3. Step 3: Cross multiply
    1,896x = 2,615.20 × 1,196.16
  4. Step 4: Simplify right side
    1,896x = 3,128,197.63
  5. Step 5: Solve for x
    x = 3,128,197.63/1,896
  6. Step 6: Final answer
    x = 1,649.89

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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.