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Finding the Fourth Proportional to 1,780.68, 2,671.40 and 548.06

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Solution

The fourth proportional to 1,780.68, 2,671.40 and 548.06 is: 822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.68 : 2,671.40 = 548.06 : x
  2. Step 2: Convert to fraction form
    1,780.68/2,671.40 = 548.06/x
  3. Step 3: Cross multiply
    1,780.68x = 2,671.40 × 548.06
  4. Step 4: Simplify right side
    1,780.68x = 1,464,095.53
  5. Step 5: Solve for x
    x = 1,464,095.53/1,780.68
  6. Step 6: Final answer
    x = 822.21

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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.