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Finding the Fourth Proportional to 1,877.64, 2,591.38 and 1,091.54

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Solution

The fourth proportional to 1,877.64, 2,591.38 and 1,091.54 is: 1,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.64 : 2,591.38 = 1,091.54 : x
  2. Step 2: Convert to fraction form
    1,877.64/2,591.38 = 1,091.54/x
  3. Step 3: Cross multiply
    1,877.64x = 2,591.38 × 1,091.54
  4. Step 4: Simplify right side
    1,877.64x = 2,828,576.51
  5. Step 5: Solve for x
    x = 2,828,576.51/1,877.64
  6. Step 6: Final answer
    x = 1,506.45

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Why These Related Problems?

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