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Finding the Fourth Proportional to 1,780.78, 2,671.24 and 548.08

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Solution

The fourth proportional to 1,780.78, 2,671.24 and 548.08 is: 822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.78 : 2,671.24 = 548.08 : x
  2. Step 2: Convert to fraction form
    1,780.78/2,671.24 = 548.08/x
  3. Step 3: Cross multiply
    1,780.78x = 2,671.24 × 548.08
  4. Step 4: Simplify right side
    1,780.78x = 1,464,053.22
  5. Step 5: Solve for x
    x = 1,464,053.22/1,780.78
  6. Step 6: Final answer
    x = 822.14

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