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Finding the Fourth Proportional to 1,877.67, 2,808.29 and 1,533.21

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Solution

The fourth proportional to 1,877.67, 2,808.29 and 1,533.21 is: 2,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.67 : 2,808.29 = 1,533.21 : x
  2. Step 2: Convert to fraction form
    1,877.67/2,808.29 = 1,533.21/x
  3. Step 3: Cross multiply
    1,877.67x = 2,808.29 × 1,533.21
  4. Step 4: Simplify right side
    1,877.67x = 4,305,690.64
  5. Step 5: Solve for x
    x = 4,305,690.64/1,877.67
  6. Step 6: Final answer
    x = 2,293.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.