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Finding the Fourth Proportional to 1,615.84, 2,228.64 and 1,091.68

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Solution

The fourth proportional to 1,615.84, 2,228.64 and 1,091.68 is: 1,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.84 : 2,228.64 = 1,091.68 : x
  2. Step 2: Convert to fraction form
    1,615.84/2,228.64 = 1,091.68/x
  3. Step 3: Cross multiply
    1,615.84x = 2,228.64 × 1,091.68
  4. Step 4: Simplify right side
    1,615.84x = 2,432,961.72
  5. Step 5: Solve for x
    x = 2,432,961.72/1,615.84
  6. Step 6: Final answer
    x = 1,505.69

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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.