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Finding the Fourth Proportional to 1,546.78, 2,134.56 and 883.75

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Solution

The fourth proportional to 1,546.78, 2,134.56 and 883.75 is: 1,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.78 : 2,134.56 = 883.75 : x
  2. Step 2: Convert to fraction form
    1,546.78/2,134.56 = 883.75/x
  3. Step 3: Cross multiply
    1,546.78x = 2,134.56 × 883.75
  4. Step 4: Simplify right side
    1,546.78x = 1,886,417.40
  5. Step 5: Solve for x
    x = 1,886,417.40/1,546.78
  6. Step 6: Final answer
    x = 1,219.58

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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.