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Finding the Fourth Proportional to 1,767.83, 2,652.96 and 902.75

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Solution

The fourth proportional to 1,767.83, 2,652.96 and 902.75 is: 1,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.83 : 2,652.96 = 902.75 : x
  2. Step 2: Convert to fraction form
    1,767.83/2,652.96 = 902.75/x
  3. Step 3: Cross multiply
    1,767.83x = 2,652.96 × 902.75
  4. Step 4: Simplify right side
    1,767.83x = 2,394,955.13
  5. Step 5: Solve for x
    x = 2,394,955.13/1,767.83
  6. Step 6: Final answer
    x = 1,354.74

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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.