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Finding the Fourth Proportional to 1,767.78, 2,444.84 and 1,546.35

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Solution

The fourth proportional to 1,767.78, 2,444.84 and 1,546.35 is: 2,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.78 : 2,444.84 = 1,546.35 : x
  2. Step 2: Convert to fraction form
    1,767.78/2,444.84 = 1,546.35/x
  3. Step 3: Cross multiply
    1,767.78x = 2,444.84 × 1,546.35
  4. Step 4: Simplify right side
    1,767.78x = 3,780,570.60
  5. Step 5: Solve for x
    x = 3,780,570.60/1,767.78
  6. Step 6: Final answer
    x = 2,138.60

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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.