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Finding the Fourth Proportional to 2,091.84, 2,887.68 and 1,505.28

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Solution

The fourth proportional to 2,091.84, 2,887.68 and 1,505.28 is: 2,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.84 : 2,887.68 = 1,505.28 : x
  2. Step 2: Convert to fraction form
    2,091.84/2,887.68 = 1,505.28/x
  3. Step 3: Cross multiply
    2,091.84x = 2,887.68 × 1,505.28
  4. Step 4: Simplify right side
    2,091.84x = 4,346,766.95
  5. Step 5: Solve for x
    x = 4,346,766.95/2,091.84
  6. Step 6: Final answer
    x = 2,077.96

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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.