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Finding the Fourth Proportional to 1,877.64, 2,591.37 and 1,091.69

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Solution

The fourth proportional to 1,877.64, 2,591.37 and 1,091.69 is: 1,506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.64 : 2,591.37 = 1,091.69 : x
  2. Step 2: Convert to fraction form
    1,877.64/2,591.37 = 1,091.69/x
  3. Step 3: Cross multiply
    1,877.64x = 2,591.37 × 1,091.69
  4. Step 4: Simplify right side
    1,877.64x = 2,828,954.30
  5. Step 5: Solve for x
    x = 2,828,954.30/1,877.64
  6. Step 6: Final answer
    x = 1,506.66

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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.